Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory

Abstract

We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and dyon masses and the metric on the moduli space of vacua. The description involves a version of Olive-Montonen electric-magnetic duality. The ``strongly coupled'' vacuum turns out to be a weakly coupled theory of monopoles, and with a suitable perturbation confinement is described by monopole condensation.

45pp, harvmac

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• BPS Wall Crossing and Topological Strings
• Magnetic Mixing -- Electric Minicharges from Magnetic Monopoles
• Hyperelliptic curves for Supersymmetric Yang-Mills
• BPS Domain Walls in Large N Supersymmetric QCD
• In the Realm of the Geometric Transitions
• Melting Crystal, Quantum Torus and Toda Hierarchy
• Surface Operators and Knot Homologies
• Monopole Dynamics and BPS Dyons N=2 Super-Yang-Mills Theories
• Candidate Phases for SU(2) Adjoint QCD${}_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Geometric Transitions
• Non-holomorphic effective potential in N = 4 SU(n) SYM
• A Geometric Realization of Confinement
• Affine Toda Systems Coupled to Matter Fields
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Covariant technique of derivative expansion of one-loop effective action
• On Mass-Deformed N=4 Supersymmetric Yang-Mills Theory
• Unitary Integrals and Related Matrix Models
• Prepotentials in N=2 SU(2) Supersymmetric Yang-Mills Theory with Massless Hypermultiplets
• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• Geometric Realizations of BPS States in N=2 Theories
• Enhanced Gauge Symmetries and Calabi-Yau Threefolds
• Holomorphicity and Modularity in Seiberg-Witten Theories with Matter
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, I
• Duality and Dynamical Supersymmetry Breaking in $Spin(10)$ with a Spinor
• Conformal Manifolds in Four Dimensions and Chiral Algebras
• Non-conformal limit of AGT relation from the 1-point torus conformal block
• Counting Yang-Mills Dyons with Index Theorems
• Four-dimensional BPS-spectra via M-theory
• Intersecting brane solutions in string and M-theory
• All Loop N=2 String Amplitudes
• Extended superspace, higher derivatives and SL(2, Z) duality
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• The CNM-Hypermultiplet Nexus
• Multi-Instanton Check of the Relation Between the Prepotential F and the Modulus u in N=2 SUSY Yang-Mills Theory
• On F-term contribution to effective action
• Categorical Tinkertoys for N=2 Gauge Theories
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• BPS Spectra and Non--Perturbative Couplings in N=2,4 Supersymmetric String Theories
• Towards N=1 Super-Yang-Mills on the Lattice
• Towards a proof of AGT conjecture by methods of matrix models
• Classification of complete N=2 supersymmetric theories in 4 dimensions
• A nonabelian particle-vortex duality in gauge theories
• Quantum moduli spaces from matrix models
• N=1 dynamics with T_N theory
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Exotic instanton counting and heterotic/type I' duality
• Comments on scaling limits of 4d N=2 theories
• Fermion-boson duality in integrable quantum field theory
• N=2 symplectic reparametrizations in a chiral background
• Spiked Instantons from Intersecting D-branes
• Holomorphic Couplings in String Theory
• String Junctions and BPS States in Seiberg-Witten Theory
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• Domain Walls in Supersymmetric Yang-Mills Theories
• Searching for K3 Fibrations
• Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories
• S-Duality in Gauge Theories as a Canonical Transformation
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD
• A Statistical Interpretation of Space and Classical-Quantum duality
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• 4d $\mathcal{N}=2$ S-folds
• Electric Flux Tube in Magnetic Plasma
• Crossing the Wall: Branes vs. Bundles
• A ``Gaussian'' Approach to Computing Supersymmetric Effective Actions
• Special geometry in hypermultiplets
• Non-Abelian Flux Tubes in SQCD: Supersizing World-Sheet Supersymmetry
• Saddle point equations in Seiberg-Witten theory
• To be or not to be? Magnetic monopoles in non-abelian gauge theories
• Finite-gap systems, tri-supersymmetry and self-isospectrality
• Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• Dimer Models and Integrable Systems
• Marginal Stability and the Metamorphosis of BPS States
• Extremal Correlators and Random Matrix Theory
• D-brane recoil
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• BPS black holes in N=2 D=4 gauged supergravities
• An Index Formula for Supersymmetric Quantum Mechanics
• Aspects of spontaneously broken N = 1 global supersymmetry in the presence of gauge interactions
• The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
• Koebe 1/4-Theorem and Inequalities in N=2 Super-QCD
• Integrability and cycles of deformed $\mathcal{N}=2$ gauge theory
• Duality and Exact Results in Product Group Theories
• Lectures on instantons
• Nonperturbative Relations in N=2 SUSY Yang-Mills and WDVV equation
• Resolution of Cosmological Singularities
• The Power of Duality -- Exact Results in 4D SUSY Field Theory
• Electric-Magnetic Duality Invariant Lagrangians
• Exact Electromagnetic Duality
• Local BRST cohomology in minimal D=4, N=1 supergravity
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• Cluster integrable systems, q-Painleve equations and their quantization
• Confinement: Understanding the Relation Between the Wilson Loop and Dual Theories of Long Distance Yang Mills Theory
• The role of monopoles in a Gluon Plasma
• Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
• Deconfinement at the Argyres-Douglas point in SU(2) gauge theory with broken N=2 supersymmetry
• Confinement in Anti-de Sitter Space
• On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications
• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
• On certain aspects of string theory/gauge theory correspondence
• Investigating Yang-Mills theory and Confinement as a function of the spatial volume
• Exact Monodromy Group of N=2 Heterotic Superstring
• Manifestly Finite Derivation of the Quantum Kink Mass
• Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model
• Introduction to Magnetic Monopoles
• Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras
• Local Quantum Observables in the Anti-deSitter - Conformal QFT Correspondence
• Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes
• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
• The Nekrasov Conjecture for Toric Surfaces
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
• Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations
• $N=2$ Super Yang-Mills and Subgroups of $SL(2,Z)$
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra
• BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
• 4D Gauge Theories with Conformal Matter
• Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories
• EPR Pairs, Local Projections and Quantum Teleportation in Holography
• Bound state transformation walls
• RG flows with supersymmetry enhancement and geometric engineering
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Landscaping with fluxes and the E8 Yukawa Point in F-theory
• Multi-Instantons, Three-Dimensional Gauge Theory, and the Gauss-Bonnet-Chern Theorem
• Non-Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD
• On "Dotsenko-Fateev" representation of the toric conformal blocks
• ABJM Wilson loops in the Fermi gas approach
• Metastable Strings in Abelian Higgs Models Embedded in Non-Abelian Theories: Calculating the Decay Rate
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action
• Calogero-Moser Models II: Symmetries and Foldings
• Phases Of Melonic Quantum Mechanics
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• Hofstadter's Butterfly in Quantum Geometry
• Classical torus conformal block, N=2* twisted superpotential and the accessory parameter of Lame equation
• Induced hypermultiplet self-interactions in N=2 gauge theories
• Constituent monopoles through the eyes of fermion zero-modes
• Generic Formula of Soft Scalar Masses in String Models
• Topological Model for Domain Walls in (Super-)Yang-Mills Theories
• Massless D-Branes on Calabi-Yau Threefolds and Monodromy
• The BPS Spectrum of N=2 SU(N) SYM and Parton Branes
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• Anomaly in RTT relation for DIM algebra and network matrix models
• Strong Coupling Expansions of SU(N) Seiberg-Witten Theory
• Topological Rigid String Theory and Two Dimensional QCD
• Solution of N=2 Gauge Theories via Compactification to Three Dimensions
• Instantons in Partially Broken Gauge Groups
• D-branes and Cosmology
• Generalized Zeta Functions and One-loop Corrections to Quantum Kink Masses
• Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate
• Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Fully Localized Brane Intersections - The Plot Thickens
• An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories
• Coherent states in quantum ${\mathcal{W}}_{1+\infty }$ algebra and qq-character for 5d Super Yang-Mills
• A Generalized Duality Symmetry for Nonabelian Yang-Mills Fields
• Electric-Magnetic Duality in Supergravity
• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• Unsolved problems in particle physics
• Exact and microscopic one-instanton calculations in N=2 supersymmetric Yang-Mills theories
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• SO(N) Superpotential, Seiberg-Witten Curves and Loop Equations
• Is string theory a theory of strings?
• Seiberg-Witten Geometries Revisited
• Mother Moose: Generating Extra Dimensions from Simple Groups at Large N
• N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized Gauge Theory in Two Dimensions
• Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle
• The Moduli Space and Monodromies of the $N=2$ Supersymmetric Yang-Mills Theory with any Lie Gauge Groups
• On Gauge Theory and Topological String in Nekrasov-Shatashvili Limit
• Check of AGT Relation for Conformal Blocks on Sphere
• Non-perturbative gauge/gravity correspondence in N=2 theories
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Borel summability of perturbative series in 4d N=2 and 5d N=1 theories
• A Prehistory of n-Categorical Physics
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• Seiberg-Witten theory for a non-trivial compactification from five to four dimensions
• Genus one correlation to multi-cut matrix model solutions
• On a Boundary CFT Description of Nonperturbative N=2 Yang-Mills Theory
• N=2 Born-Infeld Attractors
• Superconformal invariance and the geography of four-manifolds
• S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,
• Modular invariance, universality and crossover in the quantum Hall effect
• Exceptional Equivalences in N=2 Supersymmetric Yang-Mills Theory
• Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• S-Duality for Linearized Gravity
• Mirror Symmetry and the Moduli Space for Generic Hypersurfaces in Toric Varieties
• Instanton-induced Effective Lagrangian in the Seiberg-Witten Model
• An Attempt to Construct the Standard Model with Monopoles
• The toroidal block and the genus expansion
• Spectral dualities in XXZ spin chains and five dimensional gauge theories
• The concept of quasi-integrability: a concrete example
• N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
• Calogero-Moser and Toda Systems for Twisted and Untwisted Affine Lie Algebras
• From SO/Sp instantons to W-algebra blocks
• Exploring Softly Broken SUSY Theories via Grassmannian Taylor Expansion
• Cosmic strings from pure Yang-Mills theory
• Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
• Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
• Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble
• Holomorphic Anomaly and Quantum Mechanics
• On the M-Theory Approach to (Compactified) 5D Field Theories
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
• One-loop correction to classical masses of quantum kink families
• Heterotic versus Type I
• Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions
• Exotic prepotentials from D(-1)D7 dynamics
• Lattice Formulation of Supersymmetric Yang-Mills Theories without Fine-Tuning
• Charges in Gauge Theories
• Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
• Decomposing Nekrasov Decomposition
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Hitchin Equation, Singularity, and N=2 Superconformal Field Theories
• N=2 Supergravity Lagrangians with Vector-Tensor Multiplets
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• A New Derivation of the Picard-Fuchs Equations for Effective $N=2$ Super Yang-Mills Theories
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• String Junction Transitions in the Moduli Space of N=2 SYM
• Classical M-Fivebrane Dynamics and Quantum N=2 Yang-Mills
• Domain Walls Zoo in Supersymmetric QCD
• Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
• Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics
• A slow review of the AGT correspondence
• N=1 Supersymmetric Product Group Theories in the Coulomb Phase
• RG-Whitham dynamics and complex Hamiltonian systems
• AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
• Ab Initio Wall-Crossing
• Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
• Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet
• Non-Perturbative Quantum Geometry III
• Chern--Simons Vortices in the Gudnason Model
• Duality for the Non-Specialist
• Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
• Strings, Branes and Extra Dimensions
• New N=2 superconformal field theories from S-folds
• Magnetic Impurity Inspired Abelian Higgs Vortices
• Flows and Duality Symmetries in N=1 Supersymmetric Gauge Theories
• Is the Standard Model saved asymptotically by conformal symmetry?
• Exact Results in 5D from Instantons and Deconstruction
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Two-Dimensional Instantons with Bosonization and Physics of Adjoint $QC{D}_2$
• Magnetic expansion of Nekrasov theory: the SU(2) pure gauge theory
• Duality in the Presence of Supersymmetry Breaking
• BPS Walls and Junctions in SUSY Nonlinear Sigma Models
• Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• A Nonabelian Yang-Mills Analogue of Classical Electromagnetic Duality
• Topological QCD
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD
• Higgs branch, HyperKahler quotient and duality in SUSY N=2 Yang-Mills theories
• Towards effective topological gauge theories on spectral curves
• Monopole Scattering with a Twist
• Counting RG flows
• Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives
• On O(N_c) d=3 N=2 supersymmetric QCD Theories
• Exponential Networks and Representations of Quivers
• Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• Hidden Non-Abelian Gauge Symmetries in Doped Planar Antiferromagnets
• Soft Charges and Electric-Magnetic Duality
• Hypermultiplet effective action: N = 2 superspace approach
• Solitons, monopoles and duality: from sine-Gordon to Seiberg-Witten
• Gauged Hyperinstantons and Monopole Equations
• Aspects of Berry phase in QFT
• Special Geometry and the Swampland
• Strongly Coupled Quark-Gluon Plasma: The Status Report
• N=1 Superpotentials from Multi-Instanton Calculus
• A Review of Three-Family Grand Unified String Models
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• Framed M-branes, corners, and topological invariants
• Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA
• Four ways across the wall
• Color superconductivity, Z_N flux tubes and monopole confinement in deformed N=2* super Yang-Mills theories
• A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS
• S-duality as a beta-deformed Fourier transform
• Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/N_f)
• Massless Monopoles Via Confining Phase Superpotentials
• Existence of Multiple Vortices in Supersymmetric Gauge Field Theory
• 5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
• Extended Supersymmetries and the Dirac Operator
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• Modular symmetry at level 6 and a new route towards finite modular groups
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
• Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
• Exact Results And Soft Breaking Masses In Supersymmetric Gauge Theory
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
• Multi-instanton calculus in N=2 supersymmetric QCD
• Gauge invariance of color confinement due to the dual Meissner effect caused by Abelian monopoles
• Can String Theory Avoid Cosmological Singularities?
• Bounding milli-magnetically charged particles with magnetars
• Monopole Condensation and Dimensional Transmutation in SU(2) QCD
• A Solvable Deformation of Quantum Mechanics
• Integrable structures and duality in high-energy QCD
• Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation
• Supersymmetry Breaking and Gauge Mediation
• Quantization condition from exact WKB for difference equations
• $A_{n-1}$ Gaudin model with open boundaries
• N=8 supersymmetric mechanics on special Kähler manifolds
• String Webs from Field Theory
• Direct Integration and Non-Perturbative Effects in Matrix Models
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• Surface Defect Indices and 2d-4d BPS States
• Blowup Equations for Refined Topological Strings
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• The Hesse potential, the c-map and black hole solutions
• Domain Walls and Flux Tubes
• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
• Relations among topological solitons
• The Curve of Compactified 6D Gauge Theories and Integrable Systems
• Polynomial Invariants for SU(2) Monopoles
• Magnetic quivers for rank 2 theories
• Semiclassical framed BPS states
• Duality in the Quantum Hall Effect - the Role of Electron Spin
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Exact WKB Analysis of N = 2 Gauge Theories
• Exceptional $\mathcal{N}=3$ theories
• A Search for Non-Perturbative Dualities of Local $N=2$ Yang--Mills Theories from Calabi--Yau Threefolds
• Non-Abelian Monopoles in the Higgs Phase
• Critical String from Non-Abelian Vortex in Four Dimensions
• ADE Spectral Networks
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• Central Charge as the Origin of Holomorphic Effective Action in N=2 Gauge Theory
• Exact Kink Solitons in Skyrme Crystals
• Gravitational Duality in MacDowell-Mansouri Gauge Theory
• M Theory, Type IIA String and 4D N=1 SUSY SU(N_L) X SU(N_R) Gauge Theory
• N=1 Geometries via M-theory
• Integrable hierarchies and the mirror model of local CP1
• Multiflavor QCD* on R_3 x S_1: Studying Transition From Abelian to Non-Abelian Confinement
• Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories
• Decompactifications and Massless D-Branes in Hybrid Models
• Duality in String Theory
• Large N duality beyond the genus expansion
• Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
• The large Nc limit of N=2 super Yang-Mills, fractional instantons and infrared divergences
• Confined Magnetic Monopoles in Dense QCD
• Beauty is Distractive: Particle production during multifield inflation
• Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates
• Compactification, Geometry and Duality: N=2
• Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories
• Yang-Mills Instantons from Gravitational Instantons
• On elementary proof of AGT relations from six dimensions
• Three-quark potential and Abelian dominance of confinement in SU(3) QCD
• Current Correlators for General Gauge Mediation
• On Microscopic Origin of Integrability in Seiberg-Witten Theory
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Classical irregular block, N=2 pure gauge theory and Mathieu equation
• Fibrations and Hasse diagrams for 6d SCFTs
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• More Arnold's N = 2 superconformal gauge theories
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• Genus-one correction to asymptotically free Seiberg-Witten prepotential from Dijkgraaf-Vafa matrix model
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• Calabi-Yau Duals of Torus Orientifolds
• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• Superlocalization formulas and supersymmetric Yang-Mills theories
• Massless Localized Vector Field on a Wall in D=5 SQED with Tensor Multiplets
• Z_k String fluxes and monopole confinement in non-Abelian theories
• N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane Probe
• Physical Consequences of Nonabelian Duality in the Standard Model
• Do classical configurations produce Confinement?
• Integrability and Seiberg-Witten theory
• Non-perturbative monodromies in N=2 heterotic string vacua
• Higher-Derivative Terms in N=2 Supersymmetric Effective Actions
• On the Moduli Space of N = 2 Supersymmetric G_2 Gauge Theory
• The rigid limit in Special Kahler geometry; From K3-fibrations to Special Riemann surfaces: a detailed case study
• On non-commutative N=2 super Yang-Mills
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• $R^3$ index for four-dimensional $N=2$ field theories
• Attractors at weak gravity
• Condition for confinement in non-Abelian gauge theories
• Magnetic Monopoles in Field Theory and Cosmology
• Self-dual effective action of N = 4 SYM revisited
• Dimensional Transmutation by Monopole Condensation in QCD
• Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Five-Dimensional Gauge Theories and Local Mirror Symmetry
• Generalized Hitchin system, Spectral curve and N=1 dynamics
• Instanton Recursion Relations for the Effective Prepotential in N=2 Super Yang-Mills
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• The WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
• Open spin chains for giant gravitons and relativity
• BPS Graphs: From Spectral Networks to BPS Quivers
• Nonabelian Monopoles
• Matrix models for 2* theories
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• Self-Dual Strings and Stability of BPS States in N=2 SU(2) Gauge Theories
• Topological strings and their physical applications
• Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
• Mathieu equation and Elliptic curve
• Resolving the Weinberg Paradox with Topology
• 4d $\mathcal{N}=3$ indices via discrete gauging
• Quantum Noether Method
• Cosmic F- and D-strings from pure Yang-Mills theory
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• N=2 four-dimensional gauge theories from fractional branes
• Decomposing Instantons in Two Dimensions
• Modular Invariance and Structure of the Exact Wilsonian Action of N=2 SYM
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• TASI-2002 Lectures: Non-perturbative Supersymmetry
• Insights and Puzzles from Branes: 4d SUSY Yang-Mills from 6d Models
• N=1 String Duality
• Analyticity of Nekrasov Partition Functions
• Quantum Hitchin Systems via beta-deformed Matrix Models
• The Donaldson-Witten Invariants in Pure QCD with Order and Disorder 't Hooft-like Operators
• Symmetries of Heterotic String Theory
• QCD, Supersymmetric QCD, Lattice QCD and String Theory: Synthesis on the Horizon?
• Patterns of Symmetry Breaking in Chiral "QCD"
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• More Results in $N=1$ Supersymmetric Gauge Theories
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Crystal Melting and Wall Crossing Phenomena
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Instanton contributions to Wilson loops with general winding number in two dimensions and the spectral density
• Exact Electric-Magnetic Duality in N=2 Supersymmetric QCD Theories
• On the Picard-Fuchs equations of the SW models
• Generation of Source Terms in General Relativity by differential structures
• Multi-Trace Superpotentials vs. Matrix Models
• Systematic Study of Theories with Quantum Modified Moduli
• SUSY on the lattice
• Gauge/String Duality in Confining Theories
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
• Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
• Self-duality in quantum impurity problems
• Supersymmetry and the Multi-Instanton Measure
• Branes, U-folds and hyperelliptic fibrations
• 4d N=2 SCFT and singularity theory Part I: Classification
• Exact vortex solutions in a CP^N Skyrme-Faddeev type model
• Splitting of surface defect partition functions and integrable systems
• Les Houches Lectures on Fields, Strings and Duality
• Non-Abelian Monopoles on Four-Manifolds
• The dyon spectra of finite gauge theories
• Non-Perturbative Quantum Geometry II
• Duality and Confinement in N=1 Supersymmetric Theories from Geometric Transitions
• Matrix model from N = 2 orbifold partition function
• Metastable strings and dumbbells in supersymmetric hybrid inflation
• An SO(3)-monopole cobordism formula relating Donaldson and Seiberg-Witten invariants
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• The Moduli Space of the $N=2$ Supersymmetric $G_2$ Yang-Mills Theory
• Two loop effective kaehler potential of (non-)renormalizable supersymmetric models
• The Stringy Instanton Partition Function
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II
• Partial Spontaneous Breaking of Global Supersymmetry
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Central Extension of Extended Supergravities in Diverse Dimensions
• Multi-instanton calculus versus exact results in N=2 supersymmetric QCD
• A renormalizable extension of the NJL-model
• A new anomalous contribution to the central charge of the N=2 monopole
• $\mathcal{N}=1$ Theories and a Geometric Master Field
• Wall Crossing Invariants: from quantum mechanics to knots
• New N=1 Superconformal Field Theories in Four Dimensions from D-brane Probes
• Calogero-Moser Models III: Elliptic Potentials and Twisting
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• Matrix models with hard walls: Geometry and solutions
• N=2 gauge theories and quantum phases
• Isomonodromic Properties of the Seiberg-Witten Solution
• Spinning Particle as a Non-trivial Rotating Super Black Hole with Broken N=2 Supersymmetry
• On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• Instanton counting on blowup. II. $K$-theoretic partition function
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Prepotentials of N=2 SU(2) Yang-Mills theories coupled with massive matter multiplets
• High Energy QCD: Stringy Picture from Hidden Integrability
• k-String Tension from Eguchi-Kawai Reduction
• S-duality as Fourier transform for arbitrary ${\epsilon }_1,{\epsilon }_2$
• S-Duality and Modular Transformation as a non-perturbative deformation of the ordinary pq-duality
• Crystal Melting and Black Holes
• The periodic and open Toda lattice
• SUSY enhancement from T-branes
• Dark Monopoles and SL(2,Z) Duality
• The Spectrum of Softly Broken N=1 Supersymmetric Yang-Mills Theory
• Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation
• R-matrix-valued Lax pairs and long-range spin chains
• Free Fermion and Seiberg-Witten Differential in Random Plane Partitions
• The uses of random partitions
• Flowing with Eight Supersymmetries in M-Theory and F-theory
• General anomaly matching by Goldstone bosons
• The Quantum DELL System
• Superconformal Vortex Strings
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• Charge fractionization in N=2 supersymmetric QCD
• N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular Surfaces
• On HyperKahler Singularities
• Line defects and (framed) BPS quivers
• Super-Maxwell Actions with Manifest Duality
• Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
• New Mechanisms of Dynamical Supersymmetry Breaking and Direct Gauge Mediation
• Seiberg--Witten Duality in Dijkgraaf--Vafa Theory
• Giant magnon bound states from strongly coupled N=4 SYM
• Special geometry and symplectic transformations
• Confinement, solitons and the equivalence between the sine-Gordon and massive Thirring models
• Multi-Instantons, Supersymmetry and Topological Field Theories
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Refined geometric transition and $qq$-characters
• The Preheating - Gravitational Wave Correspondence
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism
• Casimir scaling and Yang-Mills glueballs
• 6d strings and exceptional instantons
• Effective Actions near Singularities
• Decomposition of BPS Moduli Spaces and Asymptotics of Supersymmetric Partition Functions
• Abelian dominance and the dual Meissner effect in local unitary gauges in SU(2) gluodynamics
• The Coulomb Branch of N=2 Supersymmetric Product Group Theories from Branes
• From the Dirac Operator to Wess-Zumino Models on Spatial Lattices
• Half--Hypers and Quivers
• Seiberg-Witten theory, monopole spectral curves and affine Toda solitons
• Hyperconifold Transitions, Mirror Symmetry, and String Theory
• W(1+infinity) algebra as a symmetry behind AGT relation
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Gauge Symmetry Breaking through Soft Masses in Supersymmetric Gauge Theories
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• BPS spectrum of Argyres-Douglas theory via spectral network
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Solitons in Seiberg-Witten Theory and D-branes in the Derived Category
• Duals for SU(N) SUSY gauge theories with an antisymmetric tensor: five easy flavors
• Toy Model for Breaking Super Gauge Theories at the Effective Lagrangian Level
• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow
• Wess-Zumino term in the N=4 SYM effective action revisited
• Branches of N=1 Vacua and Argyres-Douglas Points
• Field Strength Formulation of SU(2) Yang-Mills Theory in the Maximal Abelian Gauge: Perturbation Theory
• Non-supersymmetric cousins of supersymmetric gauge theories: quantum space of parameters and double scaling limits
• N=1 curves for trifundamentals
• Enhancons, Fuzzy Spheres and Multi-Monopoles
• The N=2 cascade revisited and the enhancon bearings
• BPS relations from spectral problems and blowup equations
• Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace
• Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
• Strong coupling expansion and Seiberg-Witten-Whitham equations
• On the Multi-Instanton Measure for Super Yang--Mills Theories
• CNM Models, Holomorphic Functions and Projective Superspace C-Maps
• Non-Abelian Stokes Theorem and Quark Confinement in SU(3) Yang-Mills Gauge Theory
• Branes and integrability in the N=2 SUSY YM theory
• CANONICAL NONABELIAN DUAL TRANSFORMATIONS IN SUPERSYMMETRIC FIELD THEORIES
• A Conjectured Bound on Accidental Symmetries
• Metastable Vacua in Large-$N$ QCD${}_3$
• Geometrical Aspects of An Abelian (2,0) Action
• Results in susy field theory from 3-brane probe in F-theory
• Dual Description of Supergravity MacDowell-Mansouri Theory
• (Dis)assembling Special Lagrangians
• Instantons from Blow-up
• Gluinos on the lattice: quenched calculations
• Coexistence of monopoles and instantons for different topological charge definitions and lattice actions
• On the BPS spectrum of 5d SU(2) super-Yang-Mills
• Duality in N=2 Super-Liouville Theory
• Supereigenvalue Model and Dijkgraaf-Vafa Proposal
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons
• A Mixed Phase of SUSY Gauge Theories from a-Maximization
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Phases of Gauge Theories
• Gauge Unification in Extra Dimensions: Power Corrections vs. Higher-Dimension Operators
• Resolving spacetime singularities in flux compactifications & KKLT
• A note on the Seiberg-Witten solution of N=2 Super Yang-Mills Theory
• The moduli space of vacua of N=2 class S theories
• $Z_n$ elliptic Gaudin model with open boundaries
• Topological Strings and (Almost) Modular Forms
• Hybrid Molecular Dynamics for Lattice Supersymmetry
• Group Theory of Non-Abelian Vortices
• The N=2 Super Yang-Mills Low-Energy Effective Action at Two Loops
• CP, Charge Fractionalizations and Low Energy Effective Actions in the SU(2) Seiberg-Witten Theories with Quarks
• Needles in a haystack: An algorithmic approach to the classification of 4d $\mathcal{N}=2$ SCFTs
• BPS/CFT correspondence V: BPZ and KZ equations from qq-characters
• Confinement in N=1 SQCD: One Step Beyond Seiberg's Duality
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• SO(3)-Donaldson invariants of CP^2 and Mock Theta Functions
• Effective Potentials and Vacuum Structure in N=1 Supersymmetric Gauge Theories
• USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds
• Color Confinement and Bose-Einstein Condensation
• Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
• Spacelike Singularities and String Theory
• Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
• Special Arithmetic of Flavor
• Coulomb Branch Global Symmetry and Quiver Addition
• Holomorphic field realization of SH${}^c$ and quantum geometry of quiver gauge theories
• Domain Lines as Fractional Strings
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Moving Moduli, Calabi-Yau Phase Transitions and Massless BPS Configurations in Type II Superstrings
• Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
• Generalized Born--Infeld Actions and Projective Cubic Curves
• S-Duality and Helicity Amplitudes
• Topology and physics-a historical essay
• Cabling procedure for the colored HOMFLY polynomials
• Vector Multiplets and the Phases of N = 2 Theories in 2D Through the Looking Glass
• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
• Weakly coupled conformal manifolds in 4d
• Branched Matrix Models and the Scales of Supersymmetric Gauge Theories
• Gauge-invariant charged, monopole and dyon fields in gauge theories
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Inflation in S-Dual Superstring Models
• Anomaly Constraints on Monopoles and Dyons
• An Analysis of Fluxes by Duality
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Exact Results in Gauge Theories: Putting Supersymmetry to Work. The 1999 Sakurai Prize Lecture
• Renormalization group limit-cycles and field theories for elliptic S-matrices
• Moduli Space Reconstruction and Weak Gravity
• Amoebas and Instantons
• Remarks on Non-Abelian Duality in N=1 Supersymmetric Gauge Theories
• The Gauge/String Correspondence Towards Realistic Gauge Theories
• A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours
• Gauge Fields and M-Fivebrane Dynamics
• Higgs branch RG-flows via Decay and Fission
• Whitham Prepotential and Superpotential
• Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter
• Dirac Monopoles and Witten's Monopole Equations
• Lattice Gerbe Theory
• Quasinormal Modes of C-metric from SCFTs
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• Cubic curves from instanton counting
• String tensions in deformed Yang-Mills theory
• N=2 SUSY gauge theories on S^4
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• Quantum geometry from the toroidal block
• N=4 Super NLS-mKdV Hierarchies
• Discontinuous BPS spectra in $N=2$ gauge theory
• Topological string amplitudes for the local half K3 surface
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• 5D BPS Quivers and KK Towers
• One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N)
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Gauge-independent Abelian mechanism of color confinement in gluodynamics
• Determination of S-curves with applications to the theory of nonhermitian orthogonal polynomials
• Generalized Abelian S-duality and coset constructions
• The Seiberg-Witten Kahler Potential as a Two-Sphere Partition Function
• Exceptional points in quantum and classical dynamics
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Hidden local symmetry and color confinement
• Spin-1 duality in $D$-dimensions
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• Topological Nambu monopole in two Higgs doublet models
• Extended supersymmetry with gauged central charge
• Wall Crossing and Instantons in Compactified Gauge Theory
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Quantum Mass and Central Charge of Supersymmetric Monopoles - Anomalies, current renormalization, and surface terms
• The Elliptic curves in gauge theory, string theory, and cohomology
• Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization
• Symplectic sigma models in superspace
• Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• Observations on the Partial Breaking of $N=2$ Rigid Supersymmetry
• On the Elliptic Genus of Three E-strings and Heterotic Strings
• N=2 quiver gauge theories on A-type ALE spaces
• N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint and Fundamental Matters
• Seiberg-Witten curves and double-elliptic integrable systems
• On Integrable Systems and Supersymmetric Gauge Theories
• A Note on the Picard-Fuchs Equations for N=2 Seiberg-Witten Theories
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Creation of Magnetic Monopoles in Classical Scattering
• On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory
• Oblique Confinement at $\theta \ne 0$ in weakly coupled gauge theories with deformations
• Thermal Monopoles
• Duality in twisted N=4 supersymmetric gauge theories in four dimensions
• Nonperturbative Superpotentials and Compactification to Three Dimensions
• N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles
• Screening in strongly coupled N=2* supersymmetric Yang-Mills plasma
• BPS Domain Walls in Supersymmetric QCD: Higher Unitary Groups
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
• N=1 Dualities for Exceptional Gauge Groups and Quantum Global Symmetries
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• WKB Method and Quantum Periods beyond Genus One
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Atiyah-Hitchin M-Branes
• On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory
• On walls of marginal stability in N=2 string theories
• Elliptic models and M-theory
• Large N, Z_N Strings and Bag Models
• On a hyperholomorphic line bundle over the Coulomb branch
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
• Lectures on Mirror Symmetry and Topological String Theory
• 3+1D Massless Weyl spinors from bosonic scalar-tensor duality
• Uniqueness of the Seiberg-Witten Effective Lagrangian
• Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory
• Brane Inflation, Solitons and Cosmological Solutions: I
• On the next-to-leading-order correction to the effective action in N=2 gauge theories
• Bands and gaps in Nekrasov partition function
• N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
• Noether and topological currents equivalence and soliton/particle correspondence in affine $sl(2{)}^{(1)}$ Toda theory coupled to matter
• Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G_{2} Yang-Mills Theory
• On the dual equivalence of the Born-Infeld-Chern-Simons model coupled to dynamical U(1) charged matter
• Direct integration for general Omega backgrounds
• Donaldson-Witten theory and indefinite theta functions
• Two-dimensional N=8 supersymmetric mechanics in superspace
• Large N techniques for Nekrasov partition functions and AGT conjecture
• Dynamical fermion mass generation and exciton spectra in graphene
• Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
• M Theory Fivebrane Interpretation for Strong Coupling Dynamics of SO(N_c) Gauge Theories
• On RG potential in Yang-Mills theories
• Euler-Calogero-Moser system from SU(2) Yang-Mills theory
• Geometric engineering of (framed) BPS states
• Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets
• Quark-Gluon Plasma - New Frontiers
• Long Range Forces and Supersymmetric Bound States
• Instanton counting and O-vertex
• (1+1)-Dimensional Yang-Mills Theory Coupled to Adjoint Fermions on the Light Front
• Scattering Amplitudes and Toric Geometry
• Gravitational Instantons from Minimal Surfaces
• Flux Tubes on Higgs Branches in SUSY Gauge Theories
• On the stability of open-string orbifold models with broken supersymmetry
• Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects
• On the Weyl-Wigner-Moyal Description of SU$(\infty )$ Nahm Equations
• Virasoro irregular conformal block and beta deformed random matrix model
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Singular points in N=2 SQCD
• BPS Soliton Solutions of a D3-brane Action
• Homological Classification of 4d $\mathcal{N}=2$ QFT. Part I: Rank-1 revisited
• Non Abelian Magnetic Monopoles and Dynamics of Confinement
• An Introduction to Noncommutative Physics
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• The Bullough-Dodd model coupled to matter fields
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge Theory
• Non-holomorphic Corrections from Threebranes in F Theory
• ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
• Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
• A geometric recipe for twisted superpotentials
• An $\mathcal{N}=1$ 3d-3d Correspondence
• Sp(N_c) Gauge Theories and M Theory Fivebrane
• An alternative to the Teukolsky equation
• Kinetic Mixing at Strong Coupling
• Vortex counting from field theory
• Duality and scaling in 3-dimensional scalar electrodynamics
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Modular Anomaly from Holomorphic Anomaly in Mass Deformed N=2 Superconformal Field Theories
• Instantons, Higher-Derivative Terms, and Nonrenormalization Theorems in Supersymmetric Gauge Theories
• Elliptic Gaudin models and elliptic KZ Equations
• Geometric construction of elliptic integrable systems and N=1^* superpotentials
• Renormalization and BRST symmetry in Donaldson-Witten theory
• Yukawa interactions at Large Charge
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse
• Integrable Hierarchies and Contact Terms in u-plane Integrals of Topologically Twisted Supersymmetric Gauge Theories
• N=1 Dual String Pairs and their Massless Spectra
• Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories
• N=2 SYM RG Scale as Modulus for WDVV Equations
• Confinement in Yang--Mills: Elements of a Big Picture
• Holography, Singularities on Orbifolds and 4D N=2 SQCD
• The Forced Soliton Equation and Semiclassical Soliton Form Factors
• On the Quantization of Seiberg-Witten Geometry
• Free fermions, W-algebras and isomonodromic deformations
• Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
• $\Gamma (2)$ modular symmetry, renormalization, group flow and the quantum Hall effect
• E-string Quantum Curve
• Implication of Exact SUSY Gauge Couplings for QCD
• Exact amplitudes in four dimensional non-critical string theories
• String duality, automorphic forms, and generalized Kac-Moody algebras
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Recent Developments in String Theory
• The nonlinear Dirac equation: Preparation and stability of relativistic vortices in Bose-Einstein condensates
• Remarks on 2+1 Self-dual Chern-Simons Gravity
• Modular invariance in the gapped XYZ spin 1/2 chain
• Exact solution of the XXX Gaudin model with the generic open boundaries
• Status Report on the Instanton Counting
• Seiberg-Witten Theory and Integrable Systems
• Confinement in QCD and generic Yang-Mills theories with matter representations
• Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories
• On the Jeffrey-Kirwan residue of BCD-instantons
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• A-branes, foliations and localization
• The Field Theory of Non-Supersymmetric Brane Configurations
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• Dessins d'Enfants in $\mathcal{N}=2$ Generalised Quiver Theories
• AGT conjecture and AFLT states: a complete construction
• Abelian duality in WZW models
• Time reversal and $\mathbf{CP}$ invariance in Calabi-Yau compactifications
• Supergravity Duals for N=2 Gauge Theories
• Euclidean N=2 Supergravity
• Topological anomalies from the path integral measure in superspace
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• Confinement and Mayer cluster expansions
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• N=1 Dual String Pairs and Gaugino Condensation
• Systematic Study of Theories with Quantum Modified Moduli II
• Stable vs Unstable Vortices in SQCD
• On the dual equivalence of the self-dual and topologically massive $B\wedge F$ models coupled to dynamical fermionic matter
• Screening in Two-dimensional QCD
• Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals
• Elements of (super-)Hamiltonian Formalism
• p,q-Duality and Hamiltonian Flows in the Space of Integrable Systems or Integrable Systems as Canonical Transforms of the Free Ones
• Vector and scalar confinement in gauge theory with a dilaton
• Different faces of confinement
• Background field method in the gradient flow
• Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• Spontaneously Broken N=2 Supergravity Without Light Mirror Fermions
• Application of the Large-N_c limit to a Chiral Lagrangian with Resonances
• Spontaneous breaking of color in N=1 Super Yang-Mills theory without matter
• New Results in Topological Field Theory and Abelian Gauge Theory
• S-duality, triangle groups and modular anomalies in N=2 SQCD
• Haploid (2,2)-Superfields In 2-Dimensional Spacetime
• TUNING TO $N=2$ SUPERSYMMETRY IN THE SU(2) ADJOINT HIGGS-YUKAWA MODEL
• String Theory or Field Theory?
• Instanton Counting, Quantum Geometry and Algebra
• Well-Defined Quantum Soliton Masses Without Supersymmetry
• Monopole Dynamics from the M-Fivebrane
• Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups
• A 5d/2d/4d correspondence
• BPS Hall Algebra of Scattering Hall States
• S-duality and the prepotential in N=2* theories (II): the non-simply laced algebras
• Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
• Classification of compactified $su(N_c)$ gauge theories with fermions in all representations
• Renormalisation Group Flow and Geodesics in the O(N) Model for Large N
• The monodromy of T-folds and T-fects
• Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
• The nonlinear Dirac equation in Bose-Einstein condensates: Vortex solutions and spectra in a weak harmonic trap
• A Note on Dual Superconductivity and Confinement
• Strong Coupling Limit of $\mathcal{N}=2$ SCFT Free Energy and Higher Derivative AdS/CFT Correspondence
• Confinement of matter fields in compact (2+1)-dimensional QED theory of high-$T_c$ superconductors
• Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
• Generalized Skyrmions in QCD and the Electroweak Sector
• The Holomorphic Tension of Vortices
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Ghost free dual vector theories in 2+1 dimensions
• Lectures on Instanton Counting
• Counting Curves with Modular Forms
• LG/CY Correspondence for Elliptic Orbifold Curves via Modularity
• Universal dynamics of rogue waves in a quenched spinor Bose condensate
• The Field Theory of Intersecting D3-branes
• Effective Lagrangians for (0+1) and (1+1) dimensionally reduced versions of D=4 N=2 SYM theory
• The Superspace WZNW Action for 4D, N=1 Supersymmetric QCD
• Mass, Confinement and CP Invariance in the Seiberg-Witten Model"
• Twisted Sisters: KK Monopoles and their Zero Modes
• Integrable theories in any dimension and homogenous spaces
• On the Holomorphic Structure of a Low Energy Supersymmetric Wilson Effective Action
• Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling
• Quantum Phases of $4d$ $SU(N)$ $\mathcal{N}=4$ SYM
• Exact WKB analysis and TBA equations for the Mathieu equation
• Dualities of Fields and Strings
• U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry
• Monopole-vortex complex at large distances and nonAbelian duality
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Non-perturbative studies of N=2 conformal quiver gauge theories
• Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups
• Integrability, Seiberg-Witten Models and Picard-Fuchs Equations
• QCD vacuum structure
• Cohomological Yang-Mills Theories on Kahler 3-Folds
• M-theory curves from warped AdS${}_6$ in Type IIB
• 't Hooft Defects and Wall Crossing in SQM
• Integrable structure in supersymmetric gauge theories with massive hypermultiplets
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Conceptual Analysis of Black Hole Entropy in String Theory
• SU(2) solutions to self-duality equations in eight dimensions
• Resurgence in the Bi-Yang-Baxter Model
• N=2 supersymmetry breaking at two different scales
• Lectures on the mass of topological solitons
• Topological Field Theories and Duality
• Special geometry of local Calabi-Yau manifolds and superpotentials from holomorphic matrix models
• Elliptic Loci of SU(3) Vacua
• A Terminal Velocity on the Landscape: Particle Production near Extra Species Loci in Higher Dimensions
• The exact 8d chiral ring from 4d recursion relations
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• The Chiral Ring and the Periods of the Resolvent
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Black Hole Condensation and Duality in String Theory
• Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces
• Holomorphic Effective Action of N=2 SYM Theory from Harmonic Superspace with Central Charges
• Supersymmetric Field Theory in 2T-physics
• N=2 SYM Action as a BRST Exact Term, Topological Yang Mills and Instantons
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• A Note on the String Analog of $N=2$ Super-Symmetric Yang-Mills
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Higher Spin Gravitational Couplings and the Yang--Mills Detour Complex
• Are there monopoles in the quark-gluon plasma?
• Explicit factorization of Seiberg-Witten curves with matter from random matrix models
• The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
• From M-theory to F-theory, with Branes
• The M theory lift of two O6 planes and four D6 branes
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
• Virasoro-type Symmetries in Solvable Models
• The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial
• Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations
• Special geometries, from real to quaternionic
• Cosmologically safe QCD axion without fine-tuning
• Supersymmetry and First Order Equations for Extremal States: Monopoles, Hyperinstantons, Black-Holes and p-Branes
• Superpotentials for M-theory on a G_2 holonomy manifold and Triality symmetry
• Holographic non-perturbative corrections to gauge couplings
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Challenges of beta-deformation
• On Holomorphic Effective Actions of Hypermultiplets Coupled to External Gauge Superfields
• Non-Abelian Vortices without Dynamical Abelianization
• Simple Calculation of Instanton Corrections in Massive N=2 SU(3) SYM
• Generalized duality between local vector theories in $D=2+1$
• Non-Abelian Strings and the Luscher Term
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• Nodal Liquids in Extended t-J Models and Dynamical Supersymmetry
• Rigid Limit in N=2 Supergravity and Weak-Gravity Conjecture
• On the Scarcity of Weak Coupling in the String Landscape
• Matrix Models and Gravitational Corrections
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II
• Quark Confinement in a Constituent Quark Model
• The Supersymmetric Ward-Takahashi Identity in 1-Loop Lattice Perturbation Theory. I. General Procedure
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• The BPS Spectrum Generator In 2d-4d Systems
• Twisted 6d $(2,0)$ SCFTs on a Circle
• Classification of all $\mathcal{N}\ge 3$ moduli space orbifold geometries at rank 2
• Duality and Weyl Symmetry of 7-brane Configurations
• Challenges of Matrix Models
• Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• N=2 Superfields and the M-Fivebrane
• Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
• Three Dimensional N=2 Supersymmetry on the Lattice
• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• The Coulomb branch of the Leigh-Strassler deformation and matrix models
• On Elliptic Algebras and Large-n Supersymmetric Gauge Theories
• Seiberg-Witten Theory and Calogero-Moser Systems
• A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
• Special Geometry and Mirror Symmetry for Open String Backgrounds with N=1 Supersymmetry
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• An insight on the Proof of Orientifold Planar Equivalence on the Lattice
• On The Phase Transition in D=3 Yang-Mills Chern-Simons Gauge Theory
• Extended Supersymmetric Moduli Space and a SUSY/Non-SUSY Duality
• Demonstration of Confinement and Chiral Symmetry Breaking in $SO(N_c)$ Gauge Theories
• On Equivalence of two Hurwitz Matrix Models
• Instantons at Strong Coupling, Averaging over Vacua, and the Gluino Condensate
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Matching branches of non-perturbative conformal block at its singularity divisor
• Supersymmetric Field-Theoretic Models on a Supermanifold
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Instantons to the people: the power of one-form symmetries
• ADHM Construction of Instantons on the Torus
• Super instanton counting and localization
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• Deconstructing the D0-D6 system
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Elliptic Quantum Curves of 6d SO(N) theories
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• Borcherds Algebras and N=4 Topological Amplitudes
• Strong positivity for the skein algebras of the $4$-punctured sphere and of the $1$-punctured torus
• The many vacua of gauged extended supergravities
• New Formulation of Anomaly,Anomaly Formula and Graphical Representation
• Beta Function, C--Theorem and WDVV Equations in 4D N=2 SYM
• Gauge/Gravity Duality in Heterotic String Theory
• Twisted Baryon Number in N=2 Supersymmetric QCD
• Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups
• Duality, Superconvergence and the Phases of Gauge Theories
• Duality in Topological Quantum Field Theories
• M-Theory and Hypercharge
• Localization and holography in N=2 gauge theories
• Pure N=2 Super Yang-Mills and Exact WKB
• Omega-Deformed Seiberg-Witten Effective Action from the M5-brane
• On the representation (in)dependence of $k$-strings in pure Yang-Mills theory via supersymmetry
• The Whitham Deformation of the Dijkgraaf-Vafa Theory
• Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperature
• Deformed BPS Monopole in Omega-background
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Light Strings and Strong Coupling in F-theory
• On a singular Fredholm-type integral equation arising in N=2 super Yang-Mills theories
• On Integrable Structure behind the Generalized WDVV Equations
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Recursive Method for Nekrasov partition function for classical Lie groups
• S-duality and the prepotential in N=2* theories (I): the ADE algebras
• BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
• $E_6$ Yukawa couplings in F-theory as D-brane instanton effects
• Construction and classification of Coulomb branch geometries
• Beta-ensembles for toric orbifold partition function
• $T$, $Q$ and periods in $SU(3)$ $\mathcal{N}=2$ SYM
• Holographic Thermal Correlators for Hyperbolic $CFT$s
• Generalized WDVV equations for F4 pure N=2 Super-Yang-Mills theory
• q-Painleve equation from Virasoro constraints
• Metastable Vacua in Perturbed Seiberg-Witten Theories
• The Atiyah--Hitchin bracket and the open Toda lattice
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• The Splitting of Branes on Orientifold Planes
• Instantons, renormalons and the theta angle in integrable sigma models
• On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• One-Instanton Tests of the Exact Results in N=2 Supersymmetric QCD
• Electrically Charged Topological Solitons
• Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences
• Supersymmetric gauge theories on the lattice
• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories
• Witten Index for Noncompact Dynamics
• Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function
• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models
• Classification of the N=1 Seiberg-Witten Theories
• The Spin-Statistics Connection in Quantum Gravity
• Dynamics of BPS Dyons: Effective Field Theory Approach
• Exact Superpotentials, Theories with Flavor and Confining Vacua
• N=2 Supersymmetric QCD and Four Manifolds; (I) the Donaldson and the Seiberg-Witten Invariants
• Crossover between Abelian and non-Abelian confinement in N=2 supersymmetric QCD
• Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory
• Minimally Unbalanced Quivers
• On surface states and star-subalgebras in string field theory
• Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory
• On Topological Susceptibility, Vacuum Energy and Theta Dependence in Gluodynamics
• Observations on the Darboux coordinates for rigid special geometry
• Dualities in Five Dimensions and Charged String Solutions
• Unitarity bounds and RG flows in time dependent quantum field theory
• Exact U(N_c)-> U(N_1)xU(N_2) factorization of Seiberg-Witten curves and N=1 vacua
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Entropy Maximization in the Presence of Higher-Curvature Interactions
• Composite gauge-bosons made of fermions
• Modular Symmetry and Fractional Charges in N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• A-D-E Singularity and Prepotentials in N=2 Supersymmetric Yang-Mills Theory
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• S-Duality and Cosmological Constant in String Theory
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• On Massive Vector Bosons and Abelian Magnetic Monopoles in D=(3+1): a Possible Way to Quantise the Topological Mass Parameter
• Quark Confinement and Dual Representation in 2+1 Dimensional Pure Yang-Mills Theory
• On the WDVV Equation and M-Theory
• Analyticity and Integrabiity in the Chiral Potts Model
• Confinement and screening in tachyonic matter
• Swampland geometry and the gauge couplings
• Instantons and the 5D U(1) gauge theory with extra adjoint
• D-brane realizations of runaway behavior and moduli stabilization
• Regge Trajectories in $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Partial restoration of chiral symmetry in a confining string
• Treating Divergent Perturbation Theory: Lessons from Exactly Solvable 2D Models at Large $N$
• Nilpotent Networks and 4D RG Flows
• ABCD of qq-characters
• Recursion relation for instanton counting for $SU(2)$ $\mathcal{N}=2$ SYM in NS limit of $\Omega$ background
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Non-Critical Superstrings from Four-Dimensional Gauge Theory
• Klein-Gordon theory in noncommutative phase space
• Chiral observables and S-duality in N = 2* U(N) gauge theories
• Dynamical Abelianization and anomalies in chiral gauge theories
• Exact quantum state for N=1 supergravity
• Instanton Correction, Wall Crossing And Mirror Symmetry Of Hitchin's Moduli Spaces
• WDVV Equations in Seiberg-Witten theory and associative algebras
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• Non Supersymmetric Metastable Vacua in N=2 SYM Softly Broken to N=1
• Matrix Models, Argyres-Douglas singularities and double scaling limits
• On the Integrability of Four Dimensional N=2 Gauge Theories in the Omega Background
• The nonminimal scalar multiplet coupled to supersymmetric Yang-Mills
• Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings
• Dark Energy, Dark Matter and Baryogenesis from a Model of a Complex Axion Field
• The Partition Function Of Argyres-Douglas Theory On A Four-Manifold
• ADE Singularities and Coset Models
• Black Hole Berry Phase
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• Random partitions and instanton counting
• Topological Concepts in Gauge Theories
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Partition Functions and Fibering Operators on the Coulomb Branch of 5d SCFTs
• Stringy instanton effects in N=2 gauge theories
• The Picard-Fuchs Equations, Monodromies and Instantons in the N=2 Susy Gauge Theories
• Gauge Formulation for Two Potential Theory of Dyons
• Finite SUSY GUT Revisited
• Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
• BPS Monopole Equation in Omega-background
• Equivariant volumes of non-compact quotients and instanton counting
• Recent Developments in String Theory: From Perturbative Dualities to M-Theory
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Multi-Instanton Measure from Recursion Relations in N=2 Supersymmetric Yang-Mills Theory
• Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Instanton Effects in Supersymmetric Yang-Mills Theories on ALE Gravitational Backgrounds
• On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
• Holomorphic Couplings In Non-Perturbative String Compactifications
• VEV of Baxter's Q-operator in N=2 gauge theory and the BPZ differential equation
• Gauge theories on compact toric manifolds
• Combinatorial approach to Mathieu and Lamé equations
• Exceptional Seiberg-Witten Geometry with Massive Fundamental Matters
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• On the dual equivalence of the self-dual and topologically massive p-form models
• Seiberg-Witten prepotential for E-string theory and global symmetries
• Milli-Magnetic Monopole Dark Matter and the Survival of Galactic Magnetic Fields
• Four flavours, triality and bimodular forms
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• N = 2 SCFTs: An M5-brane perspective
• Supersymmetric t-J Gaudin Models and KZ Equations
• FERMIONIC ZERO MODES FOR DYONS AND CHIRAL SYMMETRY BREAKING IN QCD
• Special Vinberg Cones and the Entropy of BPS Extremal Black Holes
• Coulomb Branches of Star-Shaped Quivers
• BPS states and supersymmetric index in N=2 type I string vacua
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Linear Quivers at Large-$N$
• Toward the Pole
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. II. Spin foam representation
• Symplectic Embeddings and Special Kahler Geometry of CP(n-1,1)
• Multi instanton tests of holography
• $K3$-Fibrations and Softly Broken $N=4$ Supersymmetric Gauge Theories
• Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Emergent space-time supersymmetry at disorder quantum critical point
• Surface operators in 5d gauge theories and duality relations
• Renormalisation Flow and Geodesics on the Moduli Space of Four Dimensional N=2 Supersymmetric Yang-Mills Theory
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• Non-Critical String Duals of N=1 Quiver Theories
• N=1* model and glueball superpotential from Renormalization-Group-improved perturbation theory
• Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
• Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons
• Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
• Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations
• Non-Abelian Vortices in Holographic Superconductors
• Dual versions of extended supergravities
• Modular anomaly equations and S-duality in N=2 conformal SQCD
• Superconformal Index, BPS Monodromy and Chiral Algebras
• The Holographic Dual of the $\Omega$-background
• On metastable vacua in perturbed N=2 theories
• Axion RG flows and the holographic dynamics of instanton densities
• Integration Over The u-Plane In Donaldson Theory With Surface Operators
• Confinement in a Higgs Model on $R^3\times S^1$
• Some properties of (3+1) dimensional vortex solutions in the extended CP^N Skyrme-Faddeev model
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• Exact Results for Perturbative Chern-Simons Theory with Complex Gauge Group
• On Chebyshev Wells: Periods, Deformations, and Resurgence
• Supersymmetry breaking and gauge mediation in models with a generic superpotential
• Abelian Fibrations, String Junctions, and Flux/Geometry Duality
• N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
• Confinement and Localization on Domain Walls
• Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua
• Windows on Quantum Gravity
• Strongly coupled QFT dynamics via TQFT coupling
• Accelerating Solitons
• Gauge Theories as String Theories: the First Results
• Color Superconductivity in N=2 Supersymmetric Gauge Theories
• The Effective Kähler Potential And Extra Space-Time Dimensions
• C^2/Z_n Fractional branes and Monodromy
• From Quarks to Strings
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Flat Directions in $Z_{2n}$ Orbifold Models
• On the Baryonic Branch Root of N=2 MQCD
• Broken symmetry and Yang-Mills theory
• Supersymmetry Breaking on Gauged Non-Abelian Vortices
• Non-Abelian strings in N=1 supersymmetric QCD
• New Confinement Phases from Singular SCFT
• Effective Action of Softly Broken Supersymmetric Theories
• Tau-functions for Quiver Gauge Theories
• Quantum periods and TBA equations for $\mathcal{N}=2SU(2)N_f=2$ SQCD with flavor symmetry
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Prepotential of $N=2$ Supersymmetric Yang-Mills Theories in the Weak Coupling Region
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Counting Trees in Supersymmetric Quantum Mechanics
• Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves
• Higher Toda Mechanics and Spectral Curves
• The Glueball Superpotential
• Modularity, Quaternion-Kahler spaces and Mirror Symmetry
• The Picard-Fuchs equation in classical and quantum physics: Application to higher-order WKB method
• Particle Production during Inflation in Light of PLANCK
• Confinement and duality in supersymmetric gauge theories
• Mayer expansion of the Nekrasov pre potential: the subleading ${\epsilon }_2$-order
• Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
• Topologically stable gapped state in a layered superconductor
• Gerbes and Duality
• WDVV Equations as Functional Relations
• Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks
• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Heat-Kernel Asymptotics of Locally Symmetric Spaces of Rank One and Chern-Simons Invariants
• Electric-Magnetic Duality and WDVV Equations
• Higgs and super-Higgs effects with naturally vanishing vacuum energy
• Master Canonical Action and BRST Charge of the M Theory Bosonic Five Brane
• Supersymmetric Yang-Mills Theory and Riemannian Geometry
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions
• Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory
• Dual symmetry in a generalized Maxwell theory
• Duality between Seiberg-Witten Theory and Black Hole Superradiance
• The holographic non-abelian vortex
• Resonances and PT symmetry in quantum curves
• Aspects of 5d Seiberg-Witten Theories on ${\mathbb{S}}^1$
• Renormalization Group and Dynamics of Supersymmetric Gauge Theories
• $t{t}^{\ast }$ Toda equations for surface defects in $\mathcal{N}=2$ SYM and instanton counting for classical Lie groups
• The geometry of the M5-branes and TQFTs
• SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes
• A pedagogical introduction to quantum integrability, with a view towards theoretical high-energy physics
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence
• A reduced BPS index of E-strings
• Coexistence of magnetic and charge order in a two-component order parameter description of the layered superconductors
• Generalized Devil's staircase and RG flows
• Dial M for Flavor Symmetry Breaking
• A Family of N=2 Gauge Theories with Exact S-Duality
• Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
• Dyon dynamics near marginal stability and non-BPS states
• Charges of dyons in N=2 supersymmetric gauge theory
• Noncommutative Instantons in Diverse Dimensions
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• Moduli Space Metric of N=2 Supersymmetric SU(N) Gauge Theory and the Enhancon
• Thermodynamic limit of the Nekrasov-type formula for E-string theory
• N=1 Supersymmetric $SU(2{)}^r$ Moose Theories
• Gauged N=2 Supergravity and Partial Breaking of Extended Supersymmetry
• Almost Conformal Vacua and Confinement
• New Chandrasekhar transformation in Kerr spacetime
• Hitchin systems in N=2 field theory
• New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
• Towards Exact Results in Nodal Antiferromagnetic Planar Liquids
• Magnetic Monopoles in (Noncommutative) Quantum Mechanics
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings
• QCD phases at high density and instantons
• Seiberg-Witten Theory as d<1 Topological Strings
• 4d N=2 SCFT and singularity theory Part III: Rigid singularity
• Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories
• Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory
• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• Duals of noncommutative supersymmetric U(1) gauge theory
• Super-A-polynomial
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Modular properties of 6d (DELL) systems
• Inozemtsev System as Seiberg-Witten Integrable system
• Surface Operators in N=2 Abelian Gauge Theory
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• One-loop results for kink and domain wall profiles at zero and finite temperature
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• Asymptotic Limits and Sum Rules for the Quark Propagator
• A dual view of the 3d Heisenberg model and the abelian projection
• Magnetic Monopoles and Dark Matter
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• A note on Seiberg-Witten central charge
• Monte-Carlo simulations of overlap Majorana fermions
• Dualities in all order finite N=1 gauge theories
• Notes on Equivalences and Higgs Branches in N=2 Supersymmetric Yang-Mills Theory
• Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
• A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling
• $S$-duality in Vafa-Witten theory for non-simply laced gauge groups
• Holomorphic Anomaly in Gauge Theory on ALE space
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Supersymmetric N=2 gauge theory with arbitrary gauge group
• Solving the Topological String on K3 Fibrations
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• Thermodynamics of SU(2) N=2 supersymmetric Yang-Mills theory
• Harmonic-Superspace Integrability of N=1, D=6 Supersymmetric Gauge Theory
• A Study of Wall-Crossing: Flavored Kinks in D=2 QED
• Cluster integrable systems and spin chains
• Spaces of Quantum Field Theories
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Understanding Confinement in QCD: Elements of a Big Picture
• The (de)-confinement transition in tachyonic matter at finite temperature
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• On almost duality for Frobenius manifolds
• Symmetry transform in the Faddeev-Jackiw quantization of dual models
• Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory
• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• Wall Crossing from Dirac Zeromodes
• Instantons and Non-Perturbative Dynamics of N=2 Supersymmetric Abelian Gauge Theories in Two Dimensions
• Improved matrix-model calculation of the N=2 prepotential
• WDVV equation and Triple-product Relation
• Higher Derivative Terms from Threebranes in F Theory
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Scalar Soliton Quantization with Generic Moduli
• Developments in special geometry
• Quivers, Line Defects and Framed BPS Invariants
• BPS Equations, BPS States, and Central Charge of N=2 Supersymmetric Gauge Theories
• Three Dimensional Gravity in the Presence of Scalar Fields
• Supersymmetric Wilson Loops, Superstring-Like Observables, and the Natural Coupling of Superstrings to Supersymmetric Gauge Theories
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• Weyl invariant Jacobi forms along Higgsing trees
• Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory
• Ensemble averages, Poisson processes and Microstates
• Weak Coupling Chambers in N=2 BPS Quiver Theory
• Reduction of Dual Theories
• di-Langlands correspondence and extended observables
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Wannier functions for quasi-periodic finite-gap potentials
• N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• Integrability in N=2 Gauge Theory: A Proof
• The Disc Amplitude of the Dijkgraaf-Vafa Theory:1/N Expansion vs Complex Curve Analysis
• New results in $\mathcal{N}=2$ theories from non-perturbative string
• Heterotic flux backgrounds and their IIA duals
• A Collection of Exercises in Two-Dimensional Physics, Part 1
• Equivalence of Three Wall Crossing Formulae
• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity
• Simplifying instanton corrections to N=4 SYM correlators
• A Family of ${\mathrm{GL}}_r$ Multiplicative Higgs Bundles on Rational Base
• S-duality of nonsupersymmetric gauge theories
• Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation
• What do Topologists want from Seiberg--Witten theory? (A review of four-dimensional topology for physicists)
• A new scheme for color confinement and violation of the non-Abelian Bianchi identities
• An infrared bootstrap of the Schur index with surface defects
• SUSY N=2 hyperelliptic curve from N=1 effective potential
• BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses
• No go for a flow
• Quantum Topology Change in (2 + 1)d
• Microscopic quantum superpotential in N=1 gauge theories
• L^2-Kernels Of Dirac-Type Operators On Monopole Moduli Spaces
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Topological Field Theory and Second-Quantized Five-Branes
• Magnetic monopoles in 4D: a perturbative calculation
• Mapping Dirac gaugino masses
• U(1) lattice gauge theory and N=2 supersymmetric Yang-Mills theory
• (0,2) Dualities and the 4-Simplex
• N=2 supersymmetric QCD and elliptic potentials
• Non-Abelian ``Self-Dual'' Massive Gauge Theory in 2+1 Dimensions
• Vacuum Nodes in QCD at $\theta =\pi$: Exact Results
• Holographic RG Flows and Universal Structures on the Coulomb Branch of N=2 Supersymmetric Large n Gauge Theory
• Partition function of N=2* SYM on a large four-sphere
• Quantum Line Defects and Refined BPS Spectra
• Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification
• On supersymmetry breaking and the Dijkgraaf-Vafa conjecture
• Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry
• Boundary Terms in Supergravity and Supersymmetry
• On the coupling of the self-dual field to dynamical U(1) Matter and its dual theory
• Supersymmetry Algebra in Super Yang-Mills Theories
• An(1) Affine Quiver Matrix Model
• Holographic theories at finite $\theta$-angle, CP-violation, glueball spectra and strong-coupling instabilities
• Asymptotics of Ground State Degeneracies in Quiver Quantum Mechanics
• The Phases of Non-supersymmetric Gauge Theories: the $SO(N_c)$ Case Study
• Dyon electric charge and fermion fractionalization
• Extended Gauge Theories in Euclidean Space with Higher Spin Fields
• Confinement from new global defect structures
• Geometric Approach to 3D Interfaces at Strong Coupling
• Seiberg-Witten Geometry with Various Matter Contents
• Duality in supersymmetric $N=2,4$ gauge theories
• Limits on tan beta in SU(5) GUTs with Gauge-Mediated Supersymmetry Breaking
• Exact hypermultiplet dynamics in four dimensions
• Non-perturbative Methods in Supersymmetric Theories
• S-duality wall of SQCD from Toda braiding
• N=1 Duality in the Chiral Limit from N=2 Duality
• Gauge interactions and topological phases of matter
• Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
• Some Pathways in non-Linear Supersymmetry: Special Geometry Born-Infeld's, Cosmology and dualities
• A Nonabelian Particle-Vortex Duality
• General solution of cyclic Leibniz rule
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• N=2 supersymmetric gauge theories and quantum integrable systems
• Seiberg-Witten differential via primitive forms
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• Mutation Symmetries in BPS Quiver Theories: Building the BPS Spectra
• Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent
• BPS dyons and Hesse flow
• K3 metrics from little string theory
• Masses, Sheets and Rigid SCFTs
• Donaldson-Witten theory, surface operators and mock modular forms
• Dynamics of Fundamental Matter in N=2* Yang-Mills Theory
• QCD Sum Rules: Bridging the Gap between Short and Large Distances
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• On Confinement Index
• Hidden Symmetry Unmasked: Matrix Theory and E(11)
• Instanton Counting and Dielectric Branes
• Twistor Strings with Flavour
• Equilibrium Positions and Eigenfunctions of Shape Invariant (`Discrete') Quantum Mechanics
• Comments on chiral algebras and $\Omega$-deformations
• Classical Spin Chains and Exact Three-dimensional Superpotentials
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• The static potential in QED${}_3$ with non-minimal coupling
• An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential
• Matrix Models, Monopoles and Modified Moduli
• Solving loop equations by Hitchin systems via holography in large-N QCD_4
• The $u$-plane integral, mock modularity and enumerative geometry
• Compact lattice U(1) and Seiberg-Witten duality
• Double Inozemtsev Limits of the Quantum DELL System
• The Phase Structure of Mass-Deformed SU(2)xSU(2) Quiver Theory
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• String junctions suspended between giants
• Large N dualities and transitions in geometry
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• Instantons on Young diagrams with matters
• The Instanton Universal Moduli Space of N=2 Supersymmetric Yang-Mills Theory
• Supersymmetry and Strongly Coupled Gauge Theories
• Applications of Exact Renormalization Group techniques to the non-perturbative study of supersymmetric gauge field theory
• Remarks on twisted theories with matter
• Solitonic ground state in supersymmetric theory in background
• Duality between coordinates and Dirac field
• Confinement, Chiral Symmetry Breaking and Faddeev-Niemi Decomposition in QCD
• A formulation of the Yang-Mills theory as a deformation of a topological field theory based on background field method and quark confinement problem
• A symplectic covariant formulation of special Kahler geometry in superconformal calculus
• On Phases of Gauge Theories and the Role of Non-BPS Solitons in Field Theory
• Pursuing Gravitational S-Duality
• Dynamics of global and local vortices with orientational moduli
• Large R-charge EFT correlators in N=2 SQCD
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Gonihedric String Equation II
• Duality Symmetry in Softly Broken N=2 Gauge Theories
• Extension of sine-Gordon field theory from generalized Clifford algebras
• One Loop Effects in Various Dimensions and D-Branes
• Mocking the u-plane integral
• On the moduli spaces of 4d $\mathcal{N}=3$ SCFTs I: triple special Kähler structure
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• Twisted reduction of quiver W-algebras
• Weyl states and Fermi arcs in parabolic bands
• Non-Abelian Supertubes
• Seiberg-Witten Solution from Matrix Theory
• The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Chameleonic equivalence postulate and wave function collapse
• Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach
• Families of N=2 field theories
• Duality and Modularity in Elliptic Integrable Systems and Vacua of N=1* Gauge Theories
• Penner Type Ensemble for Gauge Theories Revisited
• The Hypermultiplet in N = 2 Superspace
• Exact kink solitons in a monopole confinement problem
• Electroweak Symmetry Breaking From Monopole Condensation
• Spinning Hopf solitons on S^3 x R
• $S$-Duality and the Calabi-Yau Interpretation of the $N=4$ to $N=2$ Flow
• One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
• Perturbative and Non-Perturbative Results for $N=2$ Heterotic Strings
• One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories
• Non-Perturbative Decay of a Monopole: the Semiclassical Pre-Exponential Factor
• Duality and the Legendre Transform
• Extended $5d$ Seiberg-Witten Theory and Melting Crystal
• From Quantum Monodromy to Duality
• A Quasiperiodic Gibbons--Hawking Metric and Spacetime Foam
• Gauge theory in deformed N=(1,1) superspace
• Renormalization of the vacuum angle in quantum mechanics, Berry phase and continuous measurements
• Instanton Calculus and Loop Operator in Supersymmetric Gauge Theory
• Soft-Collinear Supersymmetry
• Lectures on Higgs moduli and abelianisation
• Partition function of $\mathcal{N}=2$ supersymmetric gauge theory and two-dimensional Yang-Mills theory
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry
• Self-dual Hamiltonians as Deformations of Free Systems
• Geodesics and BPS States in N=2 Supersymmetric QCD
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Exact Operator Map from Strong Coupling to Free Fields: Beyond Seiberg-Witten Theory
• Special Geometry and Automorphic Forms
• Counting conifolds and Dijkgraaf-Vafa matrix models for three matrices
• Conundrum of regular black holes with nonlinear electromagnetic fields
• Thermal Effects on Decays of a Metastable Brane Configuration
• $E_8$ spectral curves
• Quantum integrability of $\mathcal{N}=2$ 4d gauge theories
• Thermodynamic limit of random partitions and dispersionless Toda hierarchy
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
• Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
• Magnetic Charge Lattices, Moduli Spaces and Fusion Rules
• Les Houches lectures on supersymmetric Gauge Theories
• The Master Equation for the Prepotential-Pub
• Confinement in Covariant Gauges
• Pade Interpolation: Methodology and Application to Quarkonium
• Light-cone SU(2) Yang-Mills theory and conformal mechanics
• Born-Oppenheimer Quantization of the Matrix Model for $\mathcal{N}=1$ super-Yang-Mills
• A new treatment for some periodic Schrödinger operators I: the eigenvalue
• Effective Gravitational Couplings of Higher-Rank Supersymmetric Gauge Theories
• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• Dynamical Supersymmetry Breaking
• Solving matrix models using holomorphy
• Akin $N=2$ SUSY Yang Mills Theories and Instanton Expansion
• Effective Actions and Gauge Field Stability
• Exotic R^4 and quantum field theory
• Confinement as Analytic Continuation Beyond Infinity
• Hidden Sector Monopole Dark Matter with Matter Domination
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• Darboux Coordinates and Instanton Corrections in Projective Superspace
• Large $N_c$ from Seiberg-Witten Curve and Localization
• On low rank 4d $\mathcal{N}=2$ SCFTs
• The Conformal Hyperplet
• Quantum Solitons in any Dimension: Derrick's Theorem v. AQFT
• Children's Drawings From Seiberg-Witten Curves
• Renormalization group flow and parallel transport with non-metric compatible connections
• 10D to 4D Euclidean Supergravity over a Calabi-Yau three-fold
• BRST Formulation of 4-Monopoles
• Application of Padé interpolation to stationary state problems
• Self-dual Hopfions
• Holomorphic Yang-Mills Theory and Variation of the Donaldson Invariants
• Composite Supersymmetries in low-dimensional systems
• Topological Yang-Mills cohomology in pure Yang-Mills Theory
• Diffuse X-Ray and Gamma-Ray Limits on Boson Stars that Interact with Nuclei
• Argyres-Douglas Avatars of Coulomb Branch Physics
• Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model
• Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series
• Four-dimensional N=2 Field Theory and Physical Mathematics
• The effective hyper-K"ahler potential in the N=2 supersymmetric QCD
• On Exact Superpotentials, Free Energies and Matrix Models
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• A new treatment for some periodic Schrödinger operators II: the wave function
• An Explicit Construction of Casimir Operators and Eigenvalues : I
• Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
• Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Monopoles and confinement in three dimensions from holography
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Dynamical Supersymmetry Breaking from Meta-stable Vacua in an N=1 Supersymmetric Gauge Theory
• More on the SW-QNM correspondence
• Pade Estimate of QCD's Infrared Boundary
• Note on refined topological vertex, Jack polynomials and instanton counting
• Modular Matrix Models
• SU(2) Yang-Mills Theory with extended Supersymmetry in a Background Magnetic Field
• Seiberg-Witten Monopole Equations And Riemann Surfaces
• Electric-magnetic Duality in Noncommutative Geometry
• Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor
• Applications of the overlap formalism to super Yang-Mills theories
• Extended Objects in MQCD
• From 5d Flat Connections to 4d Fluxes (the Art of Slicing the Cone)
• Matone's relation of N=2 super Yang-Mills and spectrum of Toda chain
• The Renormalization Group with Exact beta-Functions
• Bulk-Brane Duality in Field Theory
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• On the C^n/Z_m fractional branes
• Three lectures on classical integrable systems and gauge field theories
• Monopoles of the Dirac type and color confinement in QCD -- First results of SU(3) numerical simulations without gauge fixing
• The Geometry of SUSY Enhancement
• Perturbative and non-perturbative monodromies in N=2 heterotic string vacua
• Monopole-Antimonopole Correlation Functions in 4D U(1) Gauge Theory
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• R-symmetry Breaking and O'Raifeartaigh Model with Global Symmetries at Finite Temperature
• Notes on Wall Crossing and Instanton in Compactified Gauge Theory with Matter
• A Family of Vertex Algebras from Argyres-Douglas Theory
• A Suggestion for Modification of Vafa-Witten Theory
• On topological field theory representation of higher analogs of classical special functions
• Spectra of elliptic potentials and supersymmetric gauge theories
• Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality
• Angular Momentum and Gravimagnetization of the $\mathcal{N}=2$ SYM vacuum
• Static potential in scalar QED${}_3$ with non-minimal coupling
• Duality of Coordinates and Matter Fields in Curved Spacetime
• Semicontinuity of 4d N=2 spectrum under renormalization group flow
• Elliptic analog of the Toda lattice
• Numerical simulations of dynamical gluinos in SU(3) Yang-Mills theory: first results
• On the Picard-Fuchs Equations of N=2 Supersymmetric E_6 Yang-Mills Theory
• N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type superhierarchies
• Electromagnetic dipole radiation of oscillating D-branes
• Gauge Coupling Field, Currents, Anomalies and N=1 Super-Yang-Mills Effective Actions
• N=1 Supersymmetric Yang-Mills on the lattice at strong coupling
• Abelian Links, Monopoles and Glueballs in SU(2) Lattice Gauge Theory
• Collinear Superspace
• Disconnected gauge groups in the infrared
• Instanton Corrections for m and Omega
• M-Theory and String-String Duality
• Supersymmetric Noether Currents and Seiberg-Witten Theory
• RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
• Dualities of Deformed $\mathcal{N}=2$ SCFTs from Link Monodromy on D3-brane States
• Topological resolution of gauge theory singularities
• The Seiberg-Witten equations on end-periodic manifolds and an obstruction to positive scalar curvature metrics
• Large N instantons from topological strings
• Compactifications of F-Theory on Calabi-Yau Threefolds at Constant Coupli ng
• N=1 Mirror Symmetry and Open/Closed String Duality
• On the dilaton and the axion potentials
• Vacuum Structure of Two-Dimensional Gauge Theories for Arbitrary Lie Groups
• Topological gauge theories with antisymmetric tensor matter fields
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• Magnetic Screening at Finite Temperature
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• Radiative symmetry breaking and the $b\to s\gamma$ decay in generalized GMSB models
• Quantum Moduli Spaces of Linear and Ring Mooses
• Superselection, Boundary Algebras and Duality in Gauge Theories
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Five-dimensional gauge theories and the local B-model
• Effective Lagrangian for 3d N=4 SYM theories for any gauge group and monopole moduli spaces
• N=1 SUSY inspired Whitham prepotentials and WDVV
• M theory and the ``integrating in'' method with an antisymmetric tensor
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• A Journey Between Two Curves
• SQCD, Superconducting Gaps and Cyclic RG Flows
• Finite Derivation of the One-Loop Sine-Gordon Soliton Mass
• Fluctuations of conserved charges, chiral spin symmetry and deconfinement in an SU(2)_color subgroup of SU(3)_color above T_c
• BPS jumping loci and special cycles
• Flavor symmetries and the topology of special Kähler structures at rank 1
• Discontinuous BPS Spectra in N=2 Susy QCD
• F-Theory, Seiberg-Witten Curves and N = 2 Dualities
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• Bethe/Gauge Correspondence for ABCDEFG-type 3d Gauge Theories
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• On the integrable geometry of soliton equations and N=2 supersymmetric gauge theories
• Exact renormalization group equation in presence of rescaling anomaly II - The local potential approximation
• Z(2) monopoles in SU(n) Yang-Mills-Higgs theories
• An integrable discretization of the rational su(2) Gaudin model and related systems
• On Krichever tau-function and Verlinde formula
• Periods and Prepotential of N=2 Supersymmetric E_6 Yang-Mills Theory
• Inner Structure of Spin^{c}(4) Gauge Potential on 4-Dimensional Manifolds
• Double-winding Wilson loops in SU(N) lattice Yang-Mills gauge theory
• Integrable structure of melting crystal model with external potentials
• Theoretical Equivalence in Physics
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Constructing Quantum Soliton States Despite Zero Modes
• A Generalisation of (Very) Special Geometry
• Comments on fractional instantons in N=2 gauge theories
• Categorical Wall-Crossing in Landau-Ginzburg Models
• D-Brane Probes and Mirror Symmetry
• Cascades with Adjoint Matter: Adjoint Transitions
• Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
• Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting
• Refined Topological Branes
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• Localization of gauge fields and Maxwell-Chern-Simons theory
• Quark-Gluon Plasma and Nucleons a la Laughlin
• Zerobrane Matrix Mechanics, Monopoles and Membrane Approach in QCD
• Duality in potential curve crossing: Application to quantum coherence
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• The Cosmological Constant and the Brane World Scenario
• Z(N) wall junctions: Monopole fossils in hot QCD
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. I. BF Yang-Mills representation
• Extended supersymmetry with central charges in higher dimensional Dirac action
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• $\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality
• Prepotential Recursion Relations in N=2 Super-Yang Mills with Adjoint Matter
• Prepotentials from Symmetric Products
• Potential analysis of N=2 SUSY gauge theory with the Fayet-Iliopoulos term
• Duality in N=2 SUSY Gauge Theories: low-energy effective action and BPS spectra
• New Einstein-Hilbert-type Action and Superon-Graviton Model(SGM) of Nature
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• Closing the Generation Gap
• Noncommutative Geometry and Twisted Little-String Theories
• Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries
• Regular and chaotic interactions of two BPS dyons at low energy
• Gluon condensates from the Hamiltonian formalism
• Renormalization effects on the MSSM from a calculable model of a strongly coupled hidden sector
• Wilson Loops, Bianchi Constraints and Duality in Abelian Lattice Models
• Solitons, Black Holes and Duality in String Theory
• Effect of quantum fluctuations on topological excitations and central charge in supersymmetric theories
• On the Interaction of Electrons, Magnetic Monopoles, and Photons
• Perspectives on geometric analysis
• Asymptotic Dynamics of Monopole Walls
• 11d Electric-Magnetic Duality and the Dbrane Spectrum
• Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
• N=2 Supersymmetric Calabi-Yau Hypersurface Sigma-Models on Curved Two-Dimensions
• Generalized Toda Theory from Six Dimensions and the Conifold
• Superpotentials, quantum parameter space and phase transitions in N=1 supersymmetric gauge theories
• Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
• Properties of some elliptic Hill's potentials
• Non Perturbative Check of N=2, D=4 Heterotic/Type II Duality
• 3d N=4 Super-Yang-Mills on a Lattice
• Dressed Fermions, Modular Transformations and Bosonization in the Compactified Schwinger Model
• Superspace evaluation of the two-loop effective potential for the O'Raifeartaigh model
• The light spectrum near the Argyres-Douglas point
• Seiberg-Witten Theory of Rank Two Gauge Groups and Hypergeometric Series
• E-strings, $F_4$, and $D_4$ triality
• Infinite Distance Limits and Information Theory
• On Superspace Chern-Simons-like Terms
• Abelian spatial string tension in finite temperature SU(2) gauge theory
• Wall Crossing Structures and Application to SU(3) Seiberg-Witten Integrable system
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• On the existence of scaling multi-centered black holes
• Thermal Dynamics of Quarks and Mesons in N=2* Yang-Mills Theory
• Rudiments of Dual Feynman Rules for Yang-Mills Monopoles in Loop Space
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Hidden symmetries in quantum field theories from extended complex numbers
• The Dijkgraaf-Vafa correspondence for theories with fundamental matter fields
• Studies of low-energy effective actions in supersymmetric field theories
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Quenched Spectroscopy for the N=1 Super-Yang-Mills Theory
• Generalized Calogero-Moser system and supergroup gauge origami
• Topological charges in 2d N=(2,2) theories and massive BPS states
• Understanding Fields Using Strings: A Review for Particle Physicists
• New "Electric" Description of Supersymmetric Quantum Chromodynamics
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Duality in the Context of Topological Quantum Field Theory
• Deriving exact prepotential for $N=2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups
• Unifying Themes in Topological Field Theories
• Exact low-energy effective actions for hypermultiplets in four dimensions
• The Glueball Superpotential for G_2
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Partial Breaking in Rigid Limit of $\mathcal{N}=2$ Gauged Supergravity
• A substrate for brane shells from $T\bar{T}$
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials
• Supersymmetry Breaking Triggered by Monopoles
• On resummation of the irregular conformal block
• Nonperturbative Aspect In N=2 Supersymmetric Noncommutative Yang-Mills Theory
• Quantized Non-Abelian Monopoles on S^3
• Form Invariance, Topological Fluctuations and Mass Gap of Yang-Mills Theory
• The Conley index, gauge theory, and triangulations
• Computation of the Central Charge for the Leading Order of the N=2 Super-Yang-Mills Effective Action
• Thermal Effects on the Low Energy N=2 SUSY Yang-Mills Theory
• Deformation and quantisation condition of the $\mathcal{Q}$-top recursion
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• BPS Spectra, Barcodes and Walls
• Second order reductions of the WDVV Equations related to classical Lie algebras
• Degenerate kinks and kink-instantons in two-dimensional scalar field models with $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry
• Alternative Description of Magnetic Monopoles in Quantum Mechanics
• On the Quantization of Special Kähler Manifolds
• Aspects of Confinement and Screening in M theory
• Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models
• Instanton Calculus and SUSY Gauge Theories on ALE Manifolds
• Wu-Yang Monopoles and Non-Abelian Seiberg-Witten Equations
• Dynamics of $\mathcal{N}=4$ supersymmetric field theories in 2+1 dimensions and their gravity dual
• N=1* model superpotential revisited (IR behaviour of N=4 limit)
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• A Note on Supersymmetry Breaking
• An Introduction to Supersymmetric Cluster Algebras
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• Instanton calculus without equations of motion: semiclassics from monodromies of a Riemann surface
• Ramification Points of Seiberg-Witten Curves
• Integrability and Symmetry Algebra Associated with N=2 KP Flows
• Schwinger-Dyson and Large $N_c$ Loop Equation for Supersymmetric Yang-Mills Theory
• Mass inequalities in two dimensional gauged four fermi models
• Non-perturbative aspects of gauge/gravity duality
• The Chiral 2-Sphere
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Spectral curves in gauge/string dualities: integrability, singular sectors and regularization
• 3-dimensional scalar-vector dual of topological sigma-model
• 't Hooft line in 4D $U(1)$ lattice gauge theory and a microscopic description of dyon's statistics
• Central charges of wrapped M5-brane backgrounds
• From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras
• The Toda system and solution to the $\mathcal{N}$=2 SUSY Yang-Mills theory
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane
• Deformations of the moduli space and superpotential flows in 3D SUSY QCD
• Geometry and integrability in $\mathcal{N}=8$ supersymmetric mechanics
• Derivation of quantum theories:symmetries and the exact solution of the derived system
• Physics of Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theories
• M-Theory and Two-Dimensional Effective Dynamics
• Topological order and the vacuum of Yang-Mills theories
• Elliptic Singularities, θ-Puzzle and Domain Walls
• Singular SQCD Vacua and Confinement
• Aspects of electric-magnetic dualities in maximal supergravity
• A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories
• Glueball Superfield and Argyres Douglas Points
• Effective Superpotentials, Geometry and Integrable Systems
• Massless monopole clouds and electric-magnetic duality
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• A Localization Computation in Confining Phase
• Mirror Symmetry, the Schwarzian Derivative, and the Modularity of Seiberg--Witten Theory
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets
• Superpotential of the M-theory conifold and type IIA string theory
• All the Exact Solutions of Generalized Calogero-Sutherland Models
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• A comment on 4d and 5d BPS states
• Flavors in the microscopic approach to N=1 gauge theories
• Gauge Invariance and the Critical Properties of Quantum Hall Plateaux Transitions
• A theorem concerning twisted and untwisted partition functions in U(N) and SU(N) lattice gauge theories
• Infinite Linear Quivers and Continuous Rank Functions
• 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
• Stability conditions and braid group actions on affine $A_n$ quivers
• Interlayer Coupling-Induced Quantum Phase Transition in Quantum Anomalous Hall Multilayers
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Bootstrapping SU(3) Lattice Yang-Mills Theory
• String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
• Some comments about emission channels of non abelian vortices
• Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in Type-II String
• Fundamental groups for torus link complements
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Compact lattice U(1) and Seiberg-Witten duality: a quantitative comparison
• Consistency of Wilsonian effective actions
• F-Theories on Double Sextics and Effective String Theories
• The Super-potential and Holomorphic properties of the MQCD
• Differential equations and duality in massless integrable field theories at zero temperature
• Near-SUSY to Non-SUSY Crossover
• BPS-spectra in four dimensions from M-theory
• Diamond of triads
• Does the Gursey-Tze Solution Represent a Monopole Condensate?
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
• Comments on the Nekrasov-type formula for E-string theory
• Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace
• Topological contents of 3D Seiberg-Witten theory
• Cohomological Field Theories with Kähler Structure
• The Parisi-Sourlas Mechanism in Yang-Mills Theory?
• Dualities in integrable systems and N=2 theories
• VEV of $Q$-operator in $U(1)$ linear quiver 5d gauge theories
• One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultiplet
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Dualities in Spin Ladders
• Anomalous N=2 superconformal Ward identities
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• Phases of $\mathcal{N}=4$ SYM, S-duality and Nilpotent Cones
• Lectures on Warped Compactifications and Stringy Brane Constructions
• Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories
• M-Theory, Torons and Confinement
• Symplectic Structures for the Cubic Schrodinger equation in the periodic and scattering case
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories
• Five-Dimensional Gauge Theories and Whitham-Toda Equation
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension
• String Webs and Curves of Marginal Stability in Five-Dimensional E_N theories on S^1
• Braid Group, Algebraic Surfaces and Fundamental Groups of complements of Branch Curves
• Nonlinear (chiral) p-form electrodynamics
• Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory
• On mixed phases in gauge theories
• M5-brane prongs, string soliton bound states and wall-crossing
• BPS and non-BPS states in a supersymmetric Landau-Ginzburg theory
• Duality and BPS spectra in N=2 supersymmetric QCD
• Fradkin-Shenker Continuity and "Instead-of-Confinement" Phase
• Flavor Symmetry Breaking in Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theory with N_f=N_c-2
• Deformed SW curve and the null vector decoupling equation in Toda field theory
• Mutation, Witten Index, and Quiver Invariant
• Duality in supersymmetric gauge theories
• Aspects of Supersymmetric Gauge Theory and String Theory
• On emergence in gauge theories at the 't Hooft limit
• Self-Duality from New Massive Gravity Holography
• Super Yang-Mills, Matrix Models and Geometric Transitions
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
• HyperKähler quotients and N=4 gauge theories in D=2
• Normal form of equivariant maps in infinite dimensions
• Twisted local systems solve the (holographic) loop equation of large-N QCD_4
• Separation of Variables and Vacuum Structure of N=2 SUSY QCD
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• S-duality and Canonical Transformations in String Theory
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• Supersymmetric Gauge Theories from String Theory
• Families of Hitchin systems and N=2 theories
• $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms
• Strongly-interacting massive particle and dark photon in the era of intensity frontier
• Do Three Dimensions tell us Anything about a Theory of Everything?
• Exact Multi-Instanton Solutions to Selfdual Yang-Mills Equation on Curved Spaces
• A note on chiral trace relations from qq-characters
• Summary of Results in N=1 Supersymmetric SU(2) Gauge Theories
• Semiclassical Entropy of BPS States in 4d $\mathcal{N}=2$ Theories and Counts of Geodesics
• More Dual String Pairs From Orbifolding
• BPS index and 4d N=2 superconformal field theories
• Factorization of Seiberg-Witten Curves with Fundamental Matter
• Light Monopoles, Electric Vortices and Instantons
• Light-Ray Radon Transform for Abelianin and Nonabelian Connection in 3 and 4 Dimensional Space with Minkowsky Metric
• On the Possibility of a Trans-Planckian Duality
• Moduli Space and Wall-Crossing Formulae in Higher-Rank Gauge Theories
• On bound states in Quantum Field Theory
• Mirror Symmetry for Plane Cubics Revisited
• Chiral rings for surface operators in 4d and 5d SQCD
• Confinement, NonAbelian monopoles, and 2D CP(N-1) model on the worldsheet of finite-length strings
• Discrete symmetry in supersymmetric N=2 gauge theory
• Quark Confinement in a Random Background Gross-Neveu Model
• Nonlinear Realization of N=2 Superconformal Symmetry and Brane Effective Actions
• Poisson-Nijenhuis structures on quiver path algebras
• The Monopole Equations in Topological Yang-Mills
• Theoretical Developments in SUSY
• Dual composition of odd-dimensional models
• Anchoring and Binning the Coordinate Bethe Ansatz
• BPS States, Weight Spaces and Vanishing Cycles
• Non-Abelian confinement and the dual gauge symmetry: Many faces of flavor symmetry
• Instanton and Superconductivity in Supersymmetric CP(N-1) Model
• Quenched Two Dimensional Supersymmetric Yang-Mills Theory
• The rigid limit of N=2 supergravity
• Quark confinement via magnetic color-flavor locking
• Topological Yang-Mills Theory with Two Fermionic Charges. A Superfield Approach on Kähler Manifolds
• A Lattice Formulation of Two Dimensional Topological Field Theory
• Vortices with source, FQHE and nontrivial statistics in 2+1 dimensions
• Solvable spectral problems from 2d CFT and N=2 gauge theories
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution
• Yang-Mills at Strong vs. Weak Coupling: Renormalons, OPE And All That
• Developments in Random Matrix Theory
• Order Parameters, Free Fermions, and Conservation Laws for Calogero-Moser Systems
• Super-Affine Hierarchies and their Poisson Embeddings
• Wrapped Branes and Confined Momentum
• On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory
• Gravitational corrections to N=2 supersymmetric lagrangians
• Nonperturbative SUSY Correlators at Finite Temperature
• A Sharp Existence Theorem for Vortices in the Theory of Branes
• Large-N Limit as a Classical Limit: Baryon in Two-Dimensional QCD and Multi-Matrix Models
• Navigating Collinear Superspace
• Simple look at supersymmetric N=2 gauge theory with arbitrary gauge group
• The modified Seiberg-Witten monopole equations and their exact solutions
• Particulate exotica
• Superconformal D-branes and moduli spaces
• Generalized symmetry enriched criticality in (3+1)d
• The Monster Sporadic Group and a Theory Underlying Superstring Models
• Spectral Networks and Non-abelianization
• UV asymptotically free QED as a broken YM theory in the unitary gauge
• Comments on BPS Bound State Decay
• Algebraic structure of $t{t}^{\ast }$ equations for Calabi-Yau sigma models
• Effective Actions Near Singularities: The STU-Model
• Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence
• Confining Strings in Supersymmetric Theories with Higgs Branches
• Probing the Enhancon via Calculations in Supersymmetric Gauge Theory
• S-Duality in N=4 Yang-Mills Theories
• Dual Description for SUSY SO(N) Gauge Theory with a Symmetric Tensor
• The quantum UV-IR map for line defects in $\mathfrak{gl}(3)$-type class $S$ theories
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities
• Special Kähler structures, cubic differentials and hyperbolic metrics
• The Exact Low Energy Effective action of $\mathcal{N}=2$ SYM via Seiberg-Witten Theory and Localisation
• Contrasting confinement in superQCD and superconductors
• A Note on the Stringy Embeddings of Certain N = 2 Dualities
• A Remark on Supersymmetric Bubbles and Spectrum Crossover
• Algebraic structures of Vassiliev invariants for knot families
• Perturbations of the metric in Seiberg-Witten equations
• The Renormalization Group and the Effective Potential in the Wess-Zumino model
• holographic superconductor in AdS3 spacetime
• Constructive Wall-Crossing and Seiberg-Witten
• Non-Standard Fermion Propagators from Conformal Field Theory
• Aspects of 4d supersymmetric dynamics and geometry
• Mirror Symmetry and the Web of Landau-Ginzburg String Vacua
• Fermion dynamics in presence of non abelian monopoles
• On the perturbative aspects of deformed Yang-Mills theory
• Aspetti non perturbativi della Teoria delle Stringhe
• Matrix Model and Elliptic Curve
• Holographic backgrounds from D-brane probes
• Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories
• The structure of the exact effective action and the quark confinement in MSSM QCD
• Matrix formulas for multiplicities in the spin module
• Frobenius manifolds and algebraic integrability
• On the partial breaking of $\mathcal{N}=2$ rigid supersymmetry with complex hypermultiplet
• Exact Non-Abelian Supertubes
• Spontaneous symmetry breaking in a non-Abelian topological gauge theory
• Higgs Bundles and Four Manifolds
• Born-Infeld action and Supersymmetry (in spanish)
• Dark Energy in Extra Dimensions and String Theory: Consistency Conditions
• Singularity Structure of N=2 Supersymmetric Yang-Mills Theories: A Review
• Spinorial geometry, horizons and superconformal symmetry in six dimensions
• The Dark Side of Double-Tensor Multiplets
• Gauge Zero-Modes on ALE Manifolds
• The Utility of Quantum Field Theory
• On Infrared Universality in Massive Theories. Another Example
• Lecture for the Fortieth Anniversary of Supergravity
• Lie-Algebraic Characterization of 2D (Super-)Integrable Models
• Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
• Painlevé Kernels and Surface Defects at Strong Coupling
• On extension of minimality principle in supersymmetric electrodynamics
• The Hitchin Image in Type-D
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model
• Higher Type Adjunction Inequalities in Seiberg-Witten Theory
• Vertex Operator Representation of the Soliton Tau Functions in the $A_n^{(1)}$ Toda Models by Dressing Transformations
• Aspects of N=1 String Dynamics
• Dyons with phase ${\delta }_{\theta }=n\theta$
• From Seiberg-Witten invariants to topological Green-Schwarz string
• Special Kaehler geometry
• Towards the Core of the Quantum Monopole
• T-duality on Almost Hermitian Spaces
• Bethe/Gauge correspodence: a short review on an aspect of the integrability nature of supersymmetric gauge theories
• Vortices under S-duality
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory
• Non-perturbative N=1 strings from geometric singularities
• Stringy Instanton Counting and Topological Strings
• A Supersymmetric Quantum Field Theory Formulation of the Donaldson Polynomial Invariants
• Mass Hierarchy of Z(2) Monopoles
• The sounds of the Little and Big Bangs
• Non Abelian TQFT and scattering of self dual field configuration
• Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
• Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms
• Some properties of unstable monopoles in Super-QCD
• Period Integrals, Quantum Numbers and Confinement in SUSY QCD
• Supersymmetric Sigma Models on Toric Varieties: A Test Case
• A lift of the Seiberg-Witten equations to Kaluza-Klein 5-manifolds
• Supersymmetric Gauge Theories with Matters, Toric Geometries and Random Partitions
• The four dimensional Yang--Mills partition function in the vicinity of the vacuum
• Duality transformation for 3+1 dimensional Yang-Mills theory
• Quantum Mirror Map for Del Pezzo Geometries
• Macdonald Index From Refined Kontsevich-Soibelman Operator
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries
• Grand Pleromal Transmutation : condensates via Konsishi anomaly, dimensional transmutation and ultraminimal GUTs
• S-duality and loop operators in canonical formalism
• Some remarks on special Kähler geometry
• Few-body aspects of non-perturbative QCD
• Gauge Symmetry and Integrable Models
• Phases of N=1 theories and factorization of Seiberg-Witten curves
• Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
• New aspects of N=2 theories
• Seiberg-Witten theory as a complex version of Abelian Higgs model
• Renormalon's Contribution to Effective Couplings
• Geometrizing the Anomaly
• Strings, Junctions and Stability
• Simulating Magnetic Monopole-Defect Dynamics
• Seiberg-Witten Theory and Topological Recursion
• Revisiting the Multi-Monopole Point of $SU(N)$ $\mathcal{N}=2$ Gauge Theory in Four Dimensions
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Affine A^{(1)}_{3} N=2 monopole as the D module and affine ADHMN sheaf
• Quantized D(-2)brane Charge and the Cosmological Constant
• Yang-Mills fields for Cosets
• The QCD string and the generalised wave equation
• Fluctuation-driven, topology-stabilized order in a correlated nodal semimetal
• Global variants of $\mathcal{N}=1^{\ast }$ theories and Calogero-Moser systems
• Gauge Theories on the Coulomb branch