Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD

Abstract

We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states. A number of new physical phenomena occur, such as chiral symmetry breaking that is driven by the condensation of magnetic monopoles that carry global quantum numbers. For those cases in which conformal invariance is broken only by mass terms, the formalism automatically gives results that are invariant under electric-magnetic duality. In one instance, this duality is mixed in an interesting way with $SO(8)$ triality.

89 pages

References in corpus (3)

• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• Exact Superpotentials in Four Dimensions

Cited by in corpus (1442)

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• Extended Holomorphic Anomaly in Gauge Theory
• RG Equations from Whitham Hierarchy
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• The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
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• Surface Defects and Chiral Algebras
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• Multiscale N=2 SUSY field theories, integrable systems and their stringy/brane origin -- I
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• The BPS Spectra and Superconformal Points in Massive N=2 Supersymmetric QCD
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• Chiral Rings and Phases of Supersymmetric Gauge Theories
• Infrared Computations of Defect Schur Indices
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• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
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• 4d $\mathcal{N}$=2 theories with disconnected gauge groups
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• The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
• Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories
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• BPS States and Minimal Surfaces
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• Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
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• Vortices in Theories with Flat Directions
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• Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
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• Massive and massless monopoles with nonabelian magnetic charges
• More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories
• Classification of 4d N=2 gauge theories
• DV and WDVV
• Field Theory Questions for String Theory Answers
• Self-Dual Effective Action of N=4 Super-Yang Mills
• On exact superpotentials in confining vacua
• On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)
• Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
• On N=2 Supersymmetric QCD with 4 Flavors
• SUSY field theories, integrable systems and their stringy/brane origin -- II
• BPS States on a Three Brane Probe
• Magnetic quivers for rank 1 theories
• Seiberg-Witten theory and matrix models
• S-Duality and the Dyon Spectrum in N=2 Super Yang-Mills Theory
• $(0,4)$ dualities
• Quantization of Integrable Systems and a 2d/4d Duality
• Hyperkahler Metrics from Periodic Monopoles
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• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• DUALITY SYMMETRY GROUP OF TWO DIMENSIONAL HETEROTIC STRING THEORY
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• Deformed N=2 theories, generalized recursion relations and S-duality
• Holography, 1-Form Symmetries, and Confinement
• Non-Abelian Vortices in N=1* Gauge Theory
• The Renormalization Group Equation in N=2 Supersymmetric Gauge Theories
• Holographic thermal correlators from supersymmetric instantons
• The matrix model version of AGT conjecture and CIV-DV prepotential
• In the Realm of the Geometric Transitions
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• Magnetic Mixing -- Electric Minicharges from Magnetic Monopoles
• Hyperelliptic curves for Supersymmetric Yang-Mills
• Candidate Phases for SU(2) Adjoint QCD${}_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
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• Superconformal Ward Identities and N=2 Yang-Mills Theory
• Duality and Dynamical Supersymmetry Breaking in $Spin(10)$ with a Spinor
• Conformal Manifolds in Four Dimensions and Chiral Algebras
• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• Holomorphicity and Modularity in Seiberg-Witten Theories with Matter
• Geometric Realizations of BPS States in N=2 Theories
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, I
• Enhanced Gauge Symmetries and Calabi-Yau Threefolds
• Non-conformal limit of AGT relation from the 1-point torus conformal block
• An N=2 gauge theory and its supergravity dual
• Superconformal Invariants and Extended Supersymmetry
• Prepotentials in N=2 SU(2) Supersymmetric Yang-Mills Theory with Massless Hypermultiplets
• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• The CNM-Hypermultiplet Nexus
• Four-dimensional BPS-spectra via M-theory
• Extended superspace, higher derivatives and SL(2, Z) duality
• Intersecting brane solutions in string and M-theory
• On F-term contribution to effective action
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Categorical Tinkertoys for N=2 Gauge Theories
• BPS Spectra and Non--Perturbative Couplings in N=2,4 Supersymmetric String Theories
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Towards a proof of AGT conjecture by methods of matrix models
• Spiked Instantons from Intersecting D-branes
• Holomorphic Couplings in String Theory
• On Irregular Singularity Wave Functions and Superconformal Indices
• New Seiberg Dualities from N=2 Dualities
• String Junctions and BPS States in Seiberg-Witten Theory
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• A nonabelian particle-vortex duality in gauge theories
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Comments on scaling limits of 4d N=2 theories
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• Argyres-Douglas Theories and S-Duality
• Searching for K3 Fibrations
• Domain Walls in Supersymmetric Yang-Mills Theories
• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• 4d $\mathcal{N}=2$ S-folds
• Special geometry in hypermultiplets
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• A ``Gaussian'' Approach to Computing Supersymmetric Effective Actions
• Saddle point equations in Seiberg-Witten theory
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• Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• N=2 S-duality Revisited
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• Dimer Models and Integrable Systems
• Extremal Correlators and Random Matrix Theory
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Quiver Invariants from Intrinsic Higgs States
• BPS black holes in N=2 D=4 gauged supergravities
• The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
• Aspects of spontaneously broken N = 1 global supersymmetry in the presence of gauge interactions
• Duality and Exact Results in Product Group Theories
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Exceptional SW Geometry from ALE Fibrations
• The Power of Duality -- Exact Results in 4D SUSY Field Theory
• Exact Electromagnetic Duality
• Confinement: Understanding the Relation Between the Wilson Loop and Dual Theories of Long Distance Yang Mills Theory
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• Aspects of Superconformal Multiplets in D>4
• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
• Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model
• Yang-Mills- and D-instantons
• Brane Webs and Magnetic Quivers for SQCD
• Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes
• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras
• Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
• Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line
• The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories
• 4D Gauge Theories with Conformal Matter
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra
• Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• $N=2$ Super Yang-Mills and Subgroups of $SL(2,Z)$
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• Seiberg-Witten Curve for the E-String Theory
• Metastable Strings in Abelian Higgs Models Embedded in Non-Abelian Theories: Calculating the Decay Rate
• RG flows with supersymmetry enhancement and geometric engineering
• On "Dotsenko-Fateev" representation of the toric conformal blocks
• Multi-Instantons, Three-Dimensional Gauge Theory, and the Gauss-Bonnet-Chern Theorem
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• Non-Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD
• Lattice Sigma Models with Exact Supersymmetry
• A Sequence of Duals for Sp(2N) Supersymmetric Gauge Theories with Adjoint Matter
• Induced hypermultiplet self-interactions in N=2 gauge theories
• Classical torus conformal block, N=2* twisted superpotential and the accessory parameter of Lame equation
• Strong Coupling Expansions of SU(N) Seiberg-Witten Theory
• Anomaly in RTT relation for DIM algebra and network matrix models
• Topological Rigid String Theory and Two Dimensional QCD
• Instantons in Partially Broken Gauge Groups
• Exact and microscopic one-instanton calculations in N=2 supersymmetric Yang-Mills theories
• D-branes and Cosmology
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity
• A Generalized Duality Symmetry for Nonabelian Yang-Mills Fields
• Solution of N=2 Gauge Theories via Compactification to Three Dimensions
• Electric-Magnetic Duality in Supergravity
• Fully Localized Brane Intersections - The Plot Thickens
• Borel summability of perturbative series in 4d N=2 and 5d N=1 theories
• N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized Gauge Theory in Two Dimensions
• Seiberg-Witten Geometries Revisited
• Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
• The Moduli Space and Monodromies of the $N=2$ Supersymmetric Yang-Mills Theory with any Lie Gauge Groups
• Is string theory a theory of strings?
• Check of AGT Relation for Conformal Blocks on Sphere
• Non-perturbative gauge/gravity correspondence in N=2 theories
• SO(N) Superpotential, Seiberg-Witten Curves and Loop Equations
• On Gauge Theory and Topological String in Nekrasov-Shatashvili Limit
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• Monopoles, Polyakov-Loops and Gauge Fixing on the Torus
• Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations
• S-Duality for Linearized Gravity
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• Exceptional Equivalences in N=2 Supersymmetric Yang-Mills Theory
• S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• Spectral Networks with Spin
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• Spectral dualities in XXZ spin chains and five dimensional gauge theories
• Counting BPS states on the Enriques Calabi-Yau
• Calogero-Moser and Toda Systems for Twisted and Untwisted Affine Lie Algebras
• N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
• From SO/Sp instantons to W-algebra blocks
• Instanton-induced Effective Lagrangian in the Seiberg-Witten Model
• On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
• On the M-Theory Approach to (Compactified) 5D Field Theories
• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• Quiver elliptic W-algebras
• The toroidal block and the genus expansion
• Axion quality from the (anti)symmetric of SU(N)
• Logarithmic Conformal Field Theory and Seiberg-Witten Models
• Decomposing Nekrasov Decomposition
• Heterotic versus Type I
• Non-Perturbative Green's Functions in Theories with Extended Superconformal Symmetry
• N=2 Supergravity Lagrangians with Vector-Tensor Multiplets
• Hitchin Equation, Singularity, and N=2 Superconformal Field Theories
• Exotic prepotentials from D(-1)D7 dynamics
• The Equivalence Principle of Quantum Mechanics: Uniqueness Theorem
• Matching Conditions and Duality in N=1 SUSY Gauge Theories in the Conformal Window
• String Junction Transitions in the Moduli Space of N=2 SYM
• A slow review of the AGT correspondence
• AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
• A New Derivation of the Picard-Fuchs Equations for Effective $N=2$ Super Yang-Mills Theories
• Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet
• Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
• Ab Initio Wall-Crossing
• String Nature of Confinement in (Non-)Abelian Gauge Theories
• Transformations of Spherical Blocks
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• Higgs branch, HyperKahler quotient and duality in SUSY N=2 Yang-Mills theories
• Chiral gauge dynamics and dynamical supersymmetry breaking
• Magnetic expansion of Nekrasov theory: the SU(2) pure gauge theory
• New N=2 superconformal field theories from S-folds
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Topological QCD
• BPS Walls and Junctions in SUSY Nonlinear Sigma Models
• Non-Abelian Vortex and Confinement
• A Nonabelian Yang-Mills Analogue of Classical Electromagnetic Duality
• Exact Results in 5D from Instantons and Deconstruction
• Towards effective topological gauge theories on spectral curves
• Strings, Branes and Extra Dimensions
• Flows and Duality Symmetries in N=1 Supersymmetric Gauge Theories
• A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Duality in the Presence of Supersymmetry Breaking
• N=1 Superpotentials from Multi-Instanton Calculus
• Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
• On Crossing Symmmetry and Modular Invariance in Conformal Field Theory and S Duality in Gauge Theory
• F-theory and the Gimon-Polchinski Orientifold
• Four ways across the wall
• Hypermultiplet effective action: N = 2 superspace approach
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• Special Geometry and the Swampland
• Color superconductivity, Z_N flux tubes and monopole confinement in deformed N=2* super Yang-Mills theories
• Exact Results And Soft Breaking Masses In Supersymmetric Gauge Theory
• Brane bending and monopole moduli
• Multi-instanton calculus in N=2 supersymmetric QCD
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
• Massless Monopoles Via Confining Phase Superpotentials
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• S-duality as a beta-deformed Fourier transform
• A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS
• 5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
• Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• Hidden Symmetry of the Yang--Coulomb System
• Bounding milli-magnetically charged particles with magnetars
• Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations
• Blowup Equations for Refined Topological Strings
• Can String Theory Avoid Cosmological Singularities?
• On N=2 low energy effective actions
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Mordell-Weil Lattice via String Junctions
• Integrable structures and duality in high-energy QCD
• Monopole Condensation and Dimensional Transmutation in SU(2) QCD
• Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II: special Kahler stratification of the Coulomb branch
• Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation
• Surface Defect Indices and 2d-4d BPS States
• Exceptional $\mathcal{N}=3$ theories
• N=2 Generalized Superconformal Quiver Gauge Theory
• Exact WKB Analysis of N = 2 Gauge Theories
• Relations among topological solitons
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Deformed Seiberg-Witten Curves for ADE Quivers
• Semiclassical framed BPS states
• From 6D SCFTs to Dynamic GLSMs
• The Hesse potential, the c-map and black hole solutions
• Polynomial Invariants for SU(2) Monopoles
• Critical String from Non-Abelian Vortex in Four Dimensions
• Confined Magnetic Monopoles in Dense QCD
• Exploring 5d BPS Spectra with Exponential Networks
• Gravitational Duality in MacDowell-Mansouri Gauge Theory
• Multiflavor QCD* on R_3 x S_1: Studying Transition From Abelian to Non-Abelian Confinement
• Yang-Mills Instantons from Gravitational Instantons
• Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories
• Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories
• Non-Abelian Monopoles in the Higgs Phase
• N=1 Geometries via M-theory
• M Theory, Type IIA String and 4D N=1 SUSY SU(N_L) X SU(N_R) Gauge Theory
• The large Nc limit of N=2 super Yang-Mills, fractional instantons and infrared divergences
• A Search for Non-Perturbative Dualities of Local $N=2$ Yang--Mills Theories from Calabi--Yau Threefolds
• ADE Spectral Networks
• Beauty is Distractive: Particle production during multifield inflation
• On elementary proof of AGT relations from six dimensions
• Duality in String Theory
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane Probe
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Physical Consequences of Nonabelian Duality in the Standard Model
• Three-quark potential and Abelian dominance of confinement in SU(3) QCD
• Non-perturbative monodromies in N=2 heterotic string vacua
• Massless Localized Vector Field on a Wall in D=5 SQED with Tensor Multiplets
• More Arnold's N = 2 superconformal gauge theories
• Superlocalization formulas and supersymmetric Yang-Mills theories
• Calabi-Yau Duals of Torus Orientifolds
• Fibrations and Hasse diagrams for 6d SCFTs
• Current Correlators for General Gauge Mediation
• Quark Condensation, Induced Symmetry Breaking and Color Superconductivity at High Density
• The rigid limit in Special Kahler geometry; From K3-fibrations to Special Riemann surfaces: a detailed case study
• Dimensional Transmutation by Monopole Condensation in QCD
• On Condensation of Closed-string Tachyons
• Higher-Derivative Terms in N=2 Supersymmetric Effective Actions
• Adding flavor to Dijkgraaf-Vafa
• S-Duality Constraints On Effective Potentials For Gaugino Condensation
• Condition for confinement in non-Abelian gauge theories
• BPS States, Refined Indices, and Quiver Invariants
• Generalized Hitchin system, Spectral curve and N=1 dynamics
• Matrix models for 2* theories
• Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• Instanton Recursion Relations for the Effective Prepotential in N=2 Super Yang-Mills
• Nonabelian Monopoles
• BPS Graphs: From Spectral Networks to BPS Quivers
• Five-Dimensional Gauge Theories and Local Mirror Symmetry
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• QCD, Supersymmetric QCD, Lattice QCD and String Theory: Synthesis on the Horizon?
• Instanton contributions to Wilson loops with general winding number in two dimensions and the spectral density
• On R-symmetric Fixed Points and Superconformality
• 4d $\mathcal{N}=3$ indices via discrete gauging
• Crystal Melting and Wall Crossing Phenomena
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Decomposing Instantons in Two Dimensions
• On AGT description of N=2 SCFT with N_f=4
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• Classical conformal blocks from TBA for the elliptic Calogero-Moser system
• On the Twisted (2,0) and Little-String Theories
• Symmetries of Heterotic String Theory
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Patterns of Symmetry Breaking in Chiral "QCD"
• Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae
• Self-Dual Strings and Stability of BPS States in N=2 SU(2) Gauge Theories
• Resolving the Weinberg Paradox with Topology
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• More Results in $N=1$ Supersymmetric Gauge Theories
• Insights and Puzzles from Branes: 4d SUSY Yang-Mills from 6d Models
• The Donaldson-Witten Invariants in Pure QCD with Order and Disorder 't Hooft-like Operators
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Splitting of surface defect partition functions and integrable systems
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• The dyon spectra of finite gauge theories
• Exact Electric-Magnetic Duality in N=2 Supersymmetric QCD Theories
• On the Picard-Fuchs equations of the SW models
• Supersymmetry and the Multi-Instanton Measure
• Self-duality in quantum impurity problems
• Systematic Study of Theories with Quantum Modified Moduli
• Non-Perturbative Quantum Geometry II
• Non-Abelian Monopoles on Four-Manifolds
• Matrix model from N = 2 orbifold partition function
• Exact S-Matrices with Affine Quantum Group Symmetry
• New N=1 Superconformal Field Theories in Four Dimensions from D-brane Probes
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• Prepotentials of N=2 SU(2) Yang-Mills theories coupled with massive matter multiplets
• A renormalizable extension of the NJL-model
• Partial Spontaneous Breaking of Global Supersymmetry
• On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories
• The Moduli Space of the $N=2$ Supersymmetric $G_2$ Yang-Mills Theory
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II
• N=2 gauge theories and quantum phases
• Isomonodromic Properties of the Seiberg-Witten Solution
• Anomaly induced QCD potential and Quark Decoupling
• A new anomalous contribution to the central charge of the N=2 monopole
• Matrix models with hard walls: Geometry and solutions
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Multi-instanton calculus versus exact results in N=2 supersymmetric QCD
• R-matrix-valued Lax pairs and long-range spin chains
• Seiberg--Witten Duality in Dijkgraaf--Vafa Theory
• On the chiral algebra of Argyres-Douglas theories and S-duality
• Charge fractionization in N=2 supersymmetric QCD
• Flowing with Eight Supersymmetries in M-Theory and F-theory
• Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation
• S-duality as Fourier transform for arbitrary ${\epsilon }_1,{\epsilon }_2$
• Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
• Free Fermion and Seiberg-Witten Differential in Random Plane Partitions
• High Energy QCD: Stringy Picture from Hidden Integrability
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• Dark Monopoles and SL(2,Z) Duality
• S-Duality and Modular Transformation as a non-perturbative deformation of the ordinary pq-duality
• The Quantum DELL System
• The Spectrum of Softly Broken N=1 Supersymmetric Yang-Mills Theory
• Superconformal Vortex Strings
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Refined geometric transition and $qq$-characters
• Half--Hypers and Quivers
• From the Dirac Operator to Wess-Zumino Models on Spatial Lattices
• Gauge Symmetry Breaking through Soft Masses in Supersymmetric Gauge Theories
• Confinement, solitons and the equivalence between the sine-Gordon and massive Thirring models
• The Hasse Diagram of the Moduli Space of Instantons
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• W(1+infinity) algebra as a symmetry behind AGT relation
• Decomposition of BPS Moduli Spaces and Asymptotics of Supersymmetric Partition Functions
• Special geometry and symplectic transformations
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism
• On the Multi-Instanton Measure for Super Yang--Mills Theories
• N=1 curves for trifundamentals
• The N=2 cascade revisited and the enhancon bearings
• CNM Models, Holomorphic Functions and Projective Superspace C-Maps
• The Mass Spectrum of N=1 SYM(2+1) at Strong Coupling
• Toy Model for Breaking Super Gauge Theories at the Effective Lagrangian Level
• Instantons from Blow-up
• Branches of N=1 Vacua and Argyres-Douglas Points
• Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory
• BPS relations from spectral problems and blowup equations
• Quantum Spin Systems and Supersymmetric Gauge Theories, I
• Branes and integrability in the N=2 SUSY YM theory
• Strong coupling expansion and Seiberg-Witten-Whitham equations
• Gluinos on the lattice: quenched calculations
• BPS spectrum of Argyres-Douglas theory via spectral network
• Super Yang-Mills at Weak, Intermediate and Strong Coupling
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Results in susy field theory from 3-brane probe in F-theory
• Dual Description of Supergravity MacDowell-Mansouri Theory
• CANONICAL NONABELIAN DUAL TRANSFORMATIONS IN SUPERSYMMETRIC FIELD THEORIES
• Non-supersymmetric cousins of supersymmetric gauge theories: quantum space of parameters and double scaling limits
• Needles in a haystack: An algorithmic approach to the classification of 4d $\mathcal{N}=2$ SCFTs
• Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
• USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds
• Effective Potentials and Vacuum Structure in N=1 Supersymmetric Gauge Theories
• Four dimensional superconformal theories from M5 branes
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
• Supereigenvalue Model and Dijkgraaf-Vafa Proposal
• CP, Charge Fractionalizations and Low Energy Effective Actions in the SU(2) Seiberg-Witten Theories with Quarks
• 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)
• The moduli space of vacua of N=2 class S theories
• Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
• Resolving spacetime singularities in flux compactifications & KKLT
• SO(3)-Donaldson invariants of CP^2 and Mock Theta Functions
• Holomorphic field realization of SH${}^c$ and quantum geometry of quiver gauge theories
• Seiberg-Witten curve via generalized matrix model
• Topological Strings and (Almost) Modular Forms
• Group Theory of Non-Abelian Vortices
• Special Arithmetic of Flavor
• Quantum geometry from the toroidal block
• Amoebas and Instantons
• Cubic curves from instanton counting
• Quasinormal Modes of C-metric from SCFTs
• Higgs branch RG-flows via Decay and Fission
• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Cabling procedure for the colored HOMFLY polynomials
• Remarks on Non-Abelian Duality in N=1 Supersymmetric Gauge Theories
• S-Duality and Helicity Amplitudes
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Domain Lines as Fractional Strings
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• Anomaly Constraints on Monopoles and Dyons
• Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
• Discontinuous BPS spectra in $N=2$ gauge theory
• N=2 SUSY gauge theories on S^4
• Inflation in S-Dual Superstring Models
• Extended supersymmetry with gauged central charge
• Hidden local symmetry and color confinement
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Wall Crossing and Instantons in Compactified Gauge Theory
• On Integrable Systems and Supersymmetric Gauge Theories
• Seiberg-Witten curves and double-elliptic integrable systems
• Correlators of the Global Symmetry Currents of 4D and 6D Superconformal Theories
• On the Elliptic Genus of Three E-strings and Heterotic Strings
• Quantum Mass and Central Charge of Supersymmetric Monopoles - Anomalies, current renormalization, and surface terms
• The Elliptic curves in gauge theory, string theory, and cohomology
• N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint and Fundamental Matters
• U-duality Twists and Possible Phase Transitions in 2+1D Supergravity
• Exceptional points in quantum and classical dynamics
• Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization
• One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N)
• A Non-perturbative Description of the Gimon-Polchinski Orientifold
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• Topological Nambu monopole in two Higgs doublet models
• AdS RG-Flow and the Super-Yang-Mills Cascade
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Compactified Little String Theories and Compact Moduli Spaces of Vacua
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
• Dual inflation
• Uniqueness of the Seiberg-Witten Effective Lagrangian
• On the compactification of 5d theories to 4d
• Covariance of WDVV equations
• Dualities in 4D Theories with Product Gauge Groups from Brane Configurations
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
• Screening in strongly coupled N=2* supersymmetric Yang-Mills plasma
• Atiyah-Hitchin M-Branes
• N=1* vacua, Fuzzy Spheres and Integrable Systems
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
• Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory
• Duality in twisted N=4 supersymmetric gauge theories in four dimensions
• On walls of marginal stability in N=2 string theories
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Nonperturbative Superpotentials and Compactification to Three Dimensions
• Euler-Calogero-Moser system from SU(2) Yang-Mills theory
• Instanton counting and O-vertex
• Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G_{2} Yang-Mills Theory
• Large N techniques for Nekrasov partition functions and AGT conjecture
• Donaldson-Witten theory and indefinite theta functions
• Dynamical fermion mass generation and exciton spectra in graphene
• Gravitational Instantons from Minimal Surfaces
• On the Weyl-Wigner-Moyal Description of SU$(\infty )$ Nahm Equations
• 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
• Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory
• Long Range Forces and Supersymmetric Bound States
• Virasoro irregular conformal block and beta deformed random matrix model
• S-duality and correlation functions at large R-charge
• Flux Tubes on Higgs Branches in SUSY Gauge Theories
• Two-dimensional N=8 supersymmetric mechanics in superspace
• On the next-to-leading-order correction to the effective action in N=2 gauge theories
• Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets
• Triality in SU(2) Seiberg-Witten theory and Gauss hypergeometric function
• Heterotic/type I duality, D-instantons and an N=2 AdS/CFT correspondence
• A geometric recipe for twisted superpotentials
• Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge Theory
• Vortex counting from field theory
• Duality and scaling in 3-dimensional scalar electrodynamics
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse
• Modular Anomaly from Holomorphic Anomaly in Mass Deformed N=2 Superconformal Field Theories
• An alternative to the Teukolsky equation
• Homological Classification of 4d $\mathcal{N}=2$ QFT. Part I: Rank-1 revisited
• Non-holomorphic Corrections from Threebranes in F Theory
• Singular points in N=2 SQCD
• Kinetic Mixing at Strong Coupling
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
• ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Instantons, Higher-Derivative Terms, and Nonrenormalization Theorems in Supersymmetric Gauge Theories
• An $\mathcal{N}=1$ 3d-3d Correspondence
• Monopole Bubbling via String Theory
• Non Abelian Magnetic Monopoles and Dynamics of Confinement
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• The Bullough-Dodd model coupled to matter fields
• Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals
• Systematic Study of Theories with Quantum Modified Moduli II
• Background field method in the gradient flow
• Topological anomalies from the path integral measure in superspace
• The Field Theory of Non-Supersymmetric Brane Configurations
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Confinement and Mayer cluster expansions
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories
• Exceptional String: Instanton Expansions and Seiberg-Witten Curve
• Vector and scalar confinement in gauge theory with a dilaton
• Confinement in QCD and generic Yang-Mills theories with matter representations
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Different faces of confinement
• N=2 SYM RG Scale as Modulus for WDVV Equations
• p,q-Duality and Hamiltonian Flows in the Space of Integrable Systems or Integrable Systems as Canonical Transforms of the Free Ones
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• Discrete Painleve system for the partition function of $N_f=2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit
• Remarks on 2+1 Self-dual Chern-Simons Gravity
• String duality, automorphic forms, and generalized Kac-Moody algebras
• Confinement in Yang--Mills: Elements of a Big Picture
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• Euclidean N=2 Supergravity
• Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
• Relations between supersymmetric structures in UV and IR for $\mathcal{N}=4$ bad theories
• N=1 Dual String Pairs and their Massless Spectra
• Exact amplitudes in four dimensional non-critical string theories
• The Hilbert series of N=1 SO(N_c) and Sp(N_c) SQCD, Painlevé VI and Integrable Systems
• Spontaneously Broken N=2 Supergravity Without Light Mirror Fermions
• Kummer surfaces associated with Seiberg-Witten curves
• Conformal invariance in three dimensional percolation
• Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle
• S-duality, triangle groups and modular anomalies in N=2 SQCD
• Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling
• 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
• Classification of compactified $su(N_c)$ gauge theories with fermions in all representations
• Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups
• Generalized Skyrmions in QCD and the Electroweak Sector
• A 5d/2d/4d correspondence
• $\theta$ and the ${\eta }^{\prime }$ in Large $N$ Supersymmetric QCD
• TUNING TO $N=2$ SUPERSYMMETRY IN THE SU(2) ADJOINT HIGGS-YUKAWA MODEL
• Integrable theories in any dimension and homogenous spaces
• Haploid (2,2)-Superfields In 2-Dimensional Spacetime
• Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
• Mass, Confinement and CP Invariance in the Seiberg-Witten Model"
• Dual N=2 SUSY Breaking
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• On the Holomorphic Structure of a Low Energy Supersymmetric Wilson Effective Action
• Abelian Projection on the Torus for general Gauge Groups
• Universal dynamics of rogue waves in a quenched spinor Bose condensate
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• The Holomorphic Tension of Vortices
• Explicit factorization of Seiberg-Witten curves with matter from random matrix models
• U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry
• A Terminal Velocity on the Landscape: Particle Production near Extra Species Loci in Higher Dimensions
• Monopole-vortex complex at large distances and nonAbelian duality
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• Black Hole Condensation and Duality in String Theory
• Integrable structure in supersymmetric gauge theories with massive hypermultiplets
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Elliptic Loci of SU(3) Vacua
• Superpotential from Black Holes
• 't Hooft Defects and Wall Crossing in SQM
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
• M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
• Cosmologically safe QCD axion without fine-tuning
• The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial
• Non-perturbative studies of N=2 conformal quiver gauge theories
• Supersymmetric Field Theory in 2T-physics
• Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations
• The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
• Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces
• N=2 supersymmetry breaking at two different scales
• Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups
• From M-theory to F-theory, with Branes
• The exact 8d chiral ring from 4d recursion relations
• Two-Center Black Holes, Qubits and Elliptic Curves
• The Chiral Ring and the Periods of the Resolvent
• Special geometry of local Calabi-Yau manifolds and superpotentials from holomorphic matrix models
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• The M theory lift of two O6 planes and four D6 branes
• Abrikosov String in N=2 Supersymmetric QED
• Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
• Holographic non-perturbative corrections to gauge couplings
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• Challenges of beta-deformation
• Supersymmetry and First Order Equations for Extremal States: Monopoles, Hyperinstantons, Black-Holes and p-Branes
• Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories
• On Elliptic Algebras and Large-n Supersymmetric Gauge Theories
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Classification of all $\mathcal{N}\ge 3$ moduli space orbifold geometries at rank 2
• Evidence for S-Duality in N=4 Supersymmetric Gauge Theory
• Instantons at Strong Coupling, Averaging over Vacua, and the Gluino Condensate
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Instantons to the people: the power of one-form symmetries
• Tetrahedron instantons
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• On The Phase Transition in D=3 Yang-Mills Chern-Simons Gauge Theory
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Quark Confinement in a Constituent Quark Model
• The BPS Spectrum Generator In 2d-4d Systems
• Extended Supersymmetric Moduli Space and a SUSY/Non-SUSY Duality
• Nielsen-Olesen strings in Supersymmetric models
• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• Three Dimensional N=2 Supersymmetry on the Lattice
• Non-Abelian Vortices without Dynamical Abelianization
• On the Renormalization of Theories of a Scalar Chiral Superfield
• On Equivalence of two Hurwitz Matrix Models
• Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• The Atiyah--Hitchin bracket and the open Toda lattice
• One-Instanton Tests of the Exact Results in N=2 Supersymmetric QCD
• Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperature
• The Whitham Deformation of the Dijkgraaf-Vafa Theory
• On the representation (in)dependence of $k$-strings in pure Yang-Mills theory via supersymmetry
• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories
• On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories
• New Formulation of Anomaly,Anomaly Formula and Graphical Representation
• Witten Index for Noncompact Dynamics
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Electrically Charged Topological Solitons
• Holographic Thermal Correlators for Hyperbolic $CFT$s
• q-Painleve equation from Virasoro constraints
• The Splitting of Branes on Orientifold Planes
• Beta-ensembles for toric orbifold partition function
• Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function
• Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences
• On a singular Fredholm-type integral equation arising in N=2 super Yang-Mills theories
• Twisted Baryon Number in N=2 Supersymmetric QCD
• BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
• Strong positivity for the skein algebras of the $4$-punctured sphere and of the $1$-punctured torus
• Duality, Superconvergence and the Phases of Gauge Theories
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• M and F-Theory Instantons, N=1 Supersymmetry and Fractional Topological Charges
• On the Integrability of Four Dimensional N=2 Gauge Theories in the Omega Background
• Chiral observables and S-duality in N = 2* U(N) gauge theories
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Treating Divergent Perturbation Theory: Lessons from Exactly Solvable 2D Models at Large $N$
• ABCD of qq-characters
• Dynamical Abelianization and anomalies in chiral gauge theories
• Conformal S-dualities from O-planes
• Multiple phases and meromorphic deformations of unitary matrix models
• Swampland geometry and the gauge couplings
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Recursion relation for instanton counting for $SU(2)$ $\mathcal{N}=2$ SYM in NS limit of $\Omega$ background
• Minimally Unbalanced Quivers
• Nilpotent Networks and 4D RG Flows
• Seiberg-Witten for $Spin(n)$ with Spinors
• Tensions and Luscher Terms for (2+1)-dimensional k-strings from Holographic Models
• Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory
• Crossover between Abelian and non-Abelian confinement in N=2 supersymmetric QCD
• Non Supersymmetric Metastable Vacua in N=2 SYM Softly Broken to N=1
• Exact Superpotentials, Theories with Flavor and Confining Vacua
• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models
• Exact U(N_c)-> U(N_1)xU(N_2) factorization of Seiberg-Witten curves and N=1 vacua
• ADE Singularities and Coset Models
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• Duality Symmetries for N=2 Supersymmetric QCD with Vanishing beta-Functions
• On the WDVV Equation and M-Theory
• Classification of the N=1 Seiberg-Witten Theories
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory
• Dynamics of BPS Dyons: Effective Field Theory Approach
• WDVV Equations in Seiberg-Witten theory and associative algebras
• Dualities in Five Dimensions and Charged String Solutions
• Duality Symmetries in N=2 Heterotic Superstring
• Topological aspects of QCD
• Exact quantum state for N=1 supergravity
• S-Duality and Cosmological Constant in String Theory
• Quark Confinement and Dual Representation in 2+1 Dimensional Pure Yang-Mills Theory
• Instanton Effects in Supersymmetric Yang-Mills Theories on ALE Gravitational Backgrounds
• Abelian Duality and Abelian Wilson Loops
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• W(E_10) Symmetry, M-Theory and Painleve Equations
• Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD
• Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Non-Abelian Fermionization and Fractional Quantum Hall Transitions
• Coulomb Branches of Star-Shaped Quivers
• Seiberg-Witten prepotential for E-string theory and global symmetries
• Combinatorial approach to Mathieu and Lamé equations
• $K3$-Fibrations and Softly Broken $N=4$ Supersymmetric Gauge Theories
• Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons
• On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
• Gauge Formulation for Two Potential Theory of Dyons
• Stringy instanton effects in N=2 gauge theories
• Finite SUSY GUT Revisited
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• N = 2 SCFTs: An M5-brane perspective
• Gauge theories on compact toric manifolds
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Milli-Magnetic Monopole Dark Matter and the Survival of Galactic Magnetic Fields
• Four flavours, triality and bimodular forms
• Partition Functions and Fibering Operators on the Coulomb Branch of 5d SCFTs
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• Making confining strings out of mesons
• Linear Quivers at Large-$N$
• VEV of Baxter's Q-operator in N=2 gauge theory and the BPZ differential equation
• The Picard-Fuchs Equations, Monodromies and Instantons in the N=2 Susy Gauge Theories
• Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua
• Witten index in N=1 and N=2 SYMCS theories with matter
• Particle Production during Inflation in Light of PLANCK
• Mayer expansion of the Nekrasov pre potential: the subleading ${\epsilon }_2$-order
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• Higgs and super-Higgs effects with naturally vanishing vacuum energy
• Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory
• Supersymmetry Breaking on Gauged Non-Abelian Vortices
• The Nonperturbative Gauge Coupling of N=2 Supersymmetric Theories
• Dual symmetry in a generalized Maxwell theory
• WDVV Equations as Functional Relations
• Gerbes and Duality
• More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes
• Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory
• Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
• The Effective Kähler Potential And Extra Space-Time Dimensions
• Duality between Seiberg-Witten Theory and Black Hole Superradiance
• Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
• On the Baryonic Branch Root of N=2 MQCD
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Quantum periods and TBA equations for $\mathcal{N}=2SU(2)N_f=2$ SQCD with flavor symmetry
• Color Superconductivity in N=2 Supersymmetric Gauge Theories
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
• Integration Over The u-Plane In Donaldson Theory With Surface Operators
• Flat Directions in $Z_{2n}$ Orbifold Models
• N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
• On metastable vacua in perturbed N=2 theories
• Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
• The Holographic Dual of the $\Omega$-background
• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Non-Abelian strings in N=1 supersymmetric QCD
• New Confinement Phases from Singular SCFT
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Asymptotic Limits and Sum Rules for the Quark Propagator
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• Dualities in all order finite N=1 gauge theories
• Charges of dyons in N=2 supersymmetric gauge theory
• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• Seiberg-Witten Theory as d<1 Topological Strings
• Inozemtsev System as Seiberg-Witten Integrable system
• Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
• A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Topics in Non-Perturbative QCD
• Understanding Confinement in QCD: Elements of a Big Picture
• The geometry of the M5-branes and TQFTs
• Simple Derivation of the Picard-Fuchs equations for the Seiberg-Witten Models
• Supersymmetric N=2 gauge theory with arbitrary gauge group
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• On The M(atrix)-Model For M-Theory On $T^6$
• Seiberg-Witten prepotential for E-string theory and random partitions
• A reduced BPS index of E-strings
• Thermodynamics of SU(2) N=2 supersymmetric Yang-Mills theory
• $t{t}^{\ast }$ Toda equations for surface defects in $\mathcal{N}=2$ SYM and instanton counting for classical Lie groups
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• A Family of N=2 Gauge Theories with Exact S-Duality
• New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
• Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
• Classical Yang-Mills Vacua on $T^3$ : Explicit Constructions
• Aspects of 5d Seiberg-Witten Theories on ${\mathbb{S}}^1$
• N=1 Supersymmetric $SU(2{)}^r$ Moose Theories
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• New Chandrasekhar transformation in Kerr spacetime
• SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes
• Thermodynamic limit of the Nekrasov-type formula for E-string theory
• Almost Conformal Vacua and Confinement
• Notes on Equivalences and Higgs Branches in N=2 Supersymmetric Yang-Mills Theory
• Modular properties of 6d (DELL) systems
• Higher Derivative Terms from Threebranes in F Theory
• Microscopic quantum superpotential in N=1 gauge theories
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Faces of matrix models
• Reduction of Dual Theories
• Mapping Dirac gaugino masses
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• Holographic RG Flows and Universal Structures on the Coulomb Branch of N=2 Supersymmetric Large n Gauge Theory
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Quantum oscillator as 1D anyon
• Improved matrix-model calculation of the N=2 prepotential
• N=2 supersymmetric QCD and elliptic potentials
• WDVV equation and Triple-product Relation
• Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• The Disc Amplitude of the Dijkgraaf-Vafa Theory:1/N Expansion vs Complex Curve Analysis
• Weak Coupling Chambers in N=2 BPS Quiver Theory
• Supersymmetry Algebra in Super Yang-Mills Theories
• BPS Equations, BPS States, and Central Charge of N=2 Supersymmetric Gauge Theories
• Dual WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
• Instantons and Non-Perturbative Dynamics of N=2 Supersymmetric Abelian Gauge Theories in Two Dimensions
• Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry
• Partition function of N=2* SYM on a large four-sphere
• Geometric Approach to 3D Interfaces at Strong Coupling
• No go for a flow
• Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity
• An(1) Affine Quiver Matrix Model
• An infrared bootstrap of the Schur index with surface defects
• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• Boundary Terms in Supergravity and Supersymmetry
• Developments in special geometry
• Wall Crossing from Dirac Zeromodes
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Scalar Soliton Quantization with Generic Moduli
• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• 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)
• Topological Field Theory and Second-Quantized Five-Branes
• Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory
• Seiberg-Witten Geometry with Various Matter Contents
• Dynamics of Fundamental Matter in N=2* Yang-Mills Theory
• The Instanton Universal Moduli Space of N=2 Supersymmetric Yang-Mills Theory
• On the Beta Function in Supersymmetric Gauge Theories
• The $u$-plane integral, mock modularity and enumerative geometry
• The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories
• Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories
• Masses, Sheets and Rigid SCFTs
• N=2 supersymmetric gauge theories and quantum integrable systems
• Double Inozemtsev Limits of the Quantum DELL System
• BPS dyons and Hesse flow
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• Non-Perturbative Decay of a Monopole: the Semiclassical Pre-Exponential Factor
• Matrix Models, Monopoles and Modified Moduli
• Duality and the Legendre Transform
• Mutation Symmetries in BPS Quiver Theories: Building the BPS Spectra
• Duality Symmetry in Softly Broken N=2 Gauge Theories
• Duality and Modularity in Elliptic Integrable Systems and Vacua of N=1* Gauge Theories
• $S$-Duality and the Calabi-Yau Interpretation of the $N=4$ to $N=2$ Flow
• Pursuing Gravitational S-Duality
• Supersymmetry and Strongly Coupled Gauge Theories
• N=1 Duality in the Chiral Limit from N=2 Duality
• Instantons on Young diagrams with matters
• Seiberg-Witten differential via primitive forms
• Solitonic ground state in supersymmetric theory in background
• Penner Type Ensemble for Gauge Theories Revisited
• On Confinement Index
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• From Quantum Monodromy to Duality
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories
• A Nonabelian Particle-Vortex Duality
• Comments on chiral algebras and $\Omega$-deformations
• General solution of cyclic Leibniz rule
• A symplectic covariant formulation of special Kahler geometry in superconformal calculus
• Partition function of $\mathcal{N}=2$ supersymmetric gauge theory and two-dimensional Yang-Mills theory
• Compact lattice U(1) and Seiberg-Witten duality
• Lectures on Higgs moduli and abelianisation
• Twistor Strings with Flavour
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• Extended $5d$ Seiberg-Witten Theory and Melting Crystal
• Confinement, Chiral Symmetry Breaking and Faddeev-Niemi Decomposition in QCD
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• Soft-Collinear Supersymmetry
• Pade Interpolation: Methodology and Application to Quarkonium
• The Master Equation for the Prepotential-Pub
• Differential Equations for Scaling Relation in N=2 Supersymmetric SU(2) Yang-Mills Theory Coupled with Massive Hypermultiplet
• Pade Estimate of QCD's Infrared Boundary
• SU(2) Yang-Mills Theory with extended Supersymmetry in a Background Magnetic Field
• Application of Padé interpolation to stationary state problems
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
• On Exact Superpotentials, Free Energies and Matrix Models
• Dynamical Supersymmetry Breaking from Meta-stable Vacua in an N=1 Supersymmetric Gauge Theory
• Applications of the overlap formalism to super Yang-Mills theories
• Dynamical Supersymmetry Breaking
• Confinement in Covariant Gauges
• Thermodynamic limit of random partitions and dispersionless Toda hierarchy
• Exotic R^4 and quantum field theory
• Darboux Coordinates and Instanton Corrections in Projective Superspace
• Special Geometry and Automorphic Forms
• Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model
• Geodesics and BPS States in N=2 Supersymmetric QCD
• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• The effective hyper-K"ahler potential in the N=2 supersymmetric QCD
• A new treatment for some periodic Schrödinger operators I: the eigenvalue
• 10D to 4D Euclidean Supergravity over a Calabi-Yau three-fold
• A new treatment for some periodic Schrödinger operators II: the wave function
• The Conformal Hyperplet
• Permutations of Massive Vacua
• Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
• Quantum integrability of $\mathcal{N}=2$ 4d gauge theories
• Exact quantization conditions for the elliptic Ruijsenaars-Schneider model
• An Explicit Construction of Casimir Operators and Eigenvalues : I
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Akin $N=2$ SUSY Yang Mills Theories and Instanton Expansion
• Hidden Sector Monopole Dark Matter with Matter Domination
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• More on the SW-QNM correspondence
• Critical Non-Abelian Vortex and Holography for Little String Theory
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• Diffuse X-Ray and Gamma-Ray Limits on Boson Stars that Interact with Nuclei
• Argyres-Douglas Avatars of Coulomb Branch Physics
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Exact Operator Map from Strong Coupling to Free Fields: Beyond Seiberg-Witten Theory
• Effective Actions and Gauge Field Stability
• On low rank 4d $\mathcal{N}=2$ SCFTs
• Effective Gravitational Couplings of Higher-Rank Supersymmetric Gauge Theories
• Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass
• Notes on Wall Crossing and Instanton in Compactified Gauge Theory with Matter
• RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
• Radiation Damping of a BPS Monopole; an Implication to S-duality
• Seiberg-Witten period relations in Omega background
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Flavor symmetries and the topology of special Kähler structures at rank 1
• Disconnected gauge groups in the infrared
• Superselection, Boundary Algebras and Duality in Gauge Theories
• Supersymmetric Noether Currents and Seiberg-Witten Theory
• On odd number of fermion zero modes on solitons in quantum field theory and string/M theory
• Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
• Harmonic spinors from twistors and potential forms
• M theory and the ``integrating in'' method with an antisymmetric tensor
• A Suggestion for Modification of Vafa-Witten Theory
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• Vacuum Structure of Two-Dimensional Gauge Theories for Arbitrary Lie Groups
• R-symmetry Breaking and O'Raifeartaigh Model with Global Symmetries at Finite Temperature
• Quantum Moduli Spaces of Linear and Ring Mooses
• Semicontinuity of 4d N=2 spectrum under renormalization group flow
• Vacuum structure in 3d supersymmetric gauge theories
• Spectra of elliptic potentials and supersymmetric gauge theories
• Collinear Superspace
• Vacuum Structures of Supersymmetric Yang-Mills Theories in $1+1$ Dimensions
• Gauge Coupling Field, Currents, Anomalies and N=1 Super-Yang-Mills Effective Actions
• Compactifications of F-Theory on Calabi-Yau Threefolds at Constant Coupli ng
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Dualities of Deformed $\mathcal{N}=2$ SCFTs from Link Monodromy on D3-brane States
• Discontinuous BPS Spectra in N=2 Susy QCD
• A Family of Vertex Algebras from Argyres-Douglas Theory
• Bulk-Brane Duality in Field Theory
• The Geometry of SUSY Enhancement
• Bethe/Gauge Correspondence for ABCDEFG-type 3d Gauge Theories
• Matone's relation of N=2 super Yang-Mills and spectrum of Toda chain
• Topological gauge theories with antisymmetric tensor matter fields
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• F-Theory, Seiberg-Witten Curves and N = 2 Dualities
• Super Yang-Mills Theory as a Random Matrix Model
• Extended supersymmetry with central charges in higher dimensional Dirac action
• Fractional D3-branes in diverse backgrounds
• Confinement in QCD
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Renormalization effects on the MSSM from a calculable model of a strongly coupled hidden sector
• Non-perturbative gauge couplings from holography
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Duality and Supersymmetric Monopoles
• Dressed Fermions, Modular Transformations and Bosonization in the Compactified Schwinger Model
• Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
• Wilson Loops, Bianchi Constraints and Duality in Abelian Lattice Models
• N=2 Supersymmetric Calabi-Yau Hypersurface Sigma-Models on Curved Two-Dimensions
• Inner Structure of Spin^{c}(4) Gauge Potential on 4-Dimensional Manifolds
• Thermal Dynamics of Quarks and Mesons in N=2* Yang-Mills Theory
• A Generalisation of (Very) Special Geometry
• Extended Complex Trigonometry in Relation to Integrable 2D-Quantum Field Theories and Duality
• Properties of some elliptic Hill's potentials
• Generalized Toda Theory from Six Dimensions and the Conifold
• Z(N) wall junctions: Monopole fossils in hot QCD
• Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
• Potential analysis of N=2 SUSY gauge theory with the Fayet-Iliopoulos term
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• Thermal Evolution of the Non Supersymmetric Metastable Vacua in N=2 SU(2) SYM Softly Broken to N=1
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• E-strings, $F_4$, and $D_4$ triality
• The Prepotential of N=2 SU(2) x SU(2) Supersymmetric Yang-Mills Theory with Bifundamental Matter
• Quark-Gluon Plasma and Nucleons a la Laughlin
• Asymptotic Dynamics of Monopole Walls
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• New Results on Non-Abelian Vortices - further insights into monopole, vortex and confinement
• On the Interaction of Electrons, Magnetic Monopoles, and Photons
• Z(2) monopoles in SU(n) Yang-Mills-Higgs theories
• N=1* model superpotential revisited (IR behaviour of N=4 limit)
• Deriving exact prepotential for $N=2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups
• Non-Abelian Vortex in Four Dimensions as a Critical Superstring
• Aspects of Confinement and Screening in M theory
• Investigating QCD Vacuum on the lattice
• Instanton calculus without equations of motion: semiclassics from monodromies of a Riemann surface
• Superconformal Quantum Mechanics and the Discrete Light-Cone Quantisation of N=4 SUSY Yang-Mills
• A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Integrability and Symmetry Algebra Associated with N=2 KP Flows
• Topological charges in 2d N=(2,2) theories and massive BPS states
• Dynamics of $\mathcal{N}=4$ supersymmetric field theories in 2+1 dimensions and their gravity dual
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials
• A Note on Supersymmetry Breaking
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane
• Singular SQCD Vacua and Confinement
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Flavors in the microscopic approach to N=1 gauge theories
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Some comments about emission channels of non abelian vortices
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
• Instanton Calculus and SUSY Gauge Theories on ALE Manifolds
• Schwinger-Dyson and Large $N_c$ Loop Equation for Supersymmetric Yang-Mills Theory
• 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
• Understanding Fields Using Strings: A Review for Particle Physicists
• The Toda system and solution to the $\mathcal{N}$=2 SUSY Yang-Mills theory
• A dessin on the base: a description of mutually non-local 7-branes without using branch cuts
• Thermal Effects on the Low Energy N=2 SUSY Yang-Mills Theory
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f=2n-2$ flavors
• Vortex-strings in N=2 quiver X U(1) theories
• Deformation and quantisation condition of the $\mathcal{Q}$-top recursion
• Supersymmetry Breaking Triggered by Monopoles
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Generalized Calogero-Moser system and supergroup gauge origami
• Superpotential of the M-theory conifold and type IIA string theory
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Deformations of the moduli space and superpotential flows in 3D SUSY QCD
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets
• Softly Broken N=1 Supersymmetric QCD
• Ramification Points of Seiberg-Witten Curves
• Notes on anomalies, elliptic curves and the BS-D conjecture
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• Physics of Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theories
• The Lifetime of the Electric Flux Tubes near the QCD Phase Transition
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• Chiral rings for surface operators in 4d and 5d SQCD
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
• Strongly-interacting massive particle and dark photon in the era of intensity frontier
• Nonperturbative SUSY Correlators at Finite Temperature
• Dualities in integrable systems and N=2 theories
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• BPS States, Weight Spaces and Vanishing Cycles
• Differential equations and duality in massless integrable field theories at zero temperature
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• Nonlinear Realization of N=2 Superconformal Symmetry and Brane Effective Actions
• S-duality and Canonical Transformations in String Theory
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• Separation of Variables and Vacuum Structure of N=2 SUSY QCD
• Factorization of Seiberg-Witten Curves with Fundamental Matter
• Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace
• Normal form of equivariant maps in infinite dimensions
• Duality and BPS spectra in N=2 supersymmetric QCD
• Poisson-Nijenhuis structures on quiver path algebras
• Topological Yang-Mills Theory with Two Fermionic Charges. A Superfield Approach on Kähler Manifolds
• Quark Confinement in a Random Background Gross-Neveu Model
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
• Theoretical Developments in SUSY
• BPS index and 4d N=2 superconformal field theories
• Diamond of triads
• On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory
• Quark confinement via magnetic color-flavor locking
• Comments on the Nekrasov-type formula for E-string theory
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole
• Does the Gursey-Tze Solution Represent a Monopole Condensate?
• Deriving N=2 S-dualities from Scaling for Product Gauge Groups
• Fradkin-Shenker Continuity and "Instead-of-Confinement" Phase
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories
• One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory
• On mixed phases in gauge theories
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension
• Families of Hitchin systems and N=2 theories
• Flavor Symmetry Breaking in Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theory with N_f=N_c-2
• Consistency of Wilsonian effective actions
• Instanton and Superconductivity in Supersymmetric CP(N-1) Model
• Symplectic Structures for the Cubic Schrodinger equation in the periodic and scattering case
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories
• The Monopole Equations in Topological Yang-Mills
• More Dual String Pairs From Orbifolding
• Summary of Results in N=1 Supersymmetric SU(2) Gauge Theories
• One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultiplet
• BPS Z(2) monopoles and N=2 SU(n) superconformal field theories on the Higgs branch
• Light-Ray Radon Transform for Abelianin and Nonabelian Connection in 3 and 4 Dimensional Space with Minkowsky Metric
• N = 4 SYM on Σ\times S^2 and its Topological Reduction
• The Super-potential and Holomorphic properties of the MQCD
• Compact lattice U(1) and Seiberg-Witten duality: a quantitative comparison
• Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms
• Seiberg-Witten theory as a complex version of Abelian Higgs model
• Constructive Wall-Crossing and Seiberg-Witten
• A Remark on Supersymmetric Bubbles and Spectrum Crossover
• A Note on the Stringy Embeddings of Certain N = 2 Dualities
• Navigating Collinear Superspace
• Quantizing a solitonic string
• Modular properties of surface operators in N=2 SQCD
• A lift of the Seiberg-Witten equations to Kaluza-Klein 5-manifolds
• Circumnavigating Collinear Superspace
• Period Integrals, Quantum Numbers and Confinement in SUSY QCD
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly
• New aspects of N=2 theories
• Vertex Operator Representation of the Soliton Tau Functions in the $A_n^{(1)}$ Toda Models by Dressing Transformations
• The quantum UV-IR map for line defects in $\mathfrak{gl}(3)$-type class $S$ theories
• Inflation in softly broken Seiberg-Witten models
• Aspects of 4d supersymmetric dynamics and geometry
• Fermion dynamics in presence of non abelian monopoles
• Some properties of unstable monopoles in Super-QCD
• Matrix formulas for multiplicities in the spin module
• Microscopic- versus Effective Coupling in N=2 Yang-Mills With Four Flavours
• Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
• Painlevé Kernels and Surface Defects at Strong Coupling
• The Hitchin Image in Type-D
• Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model
• Comments on BPS Bound State Decay
• Dyons with phase ${\delta }_{\theta }=n\theta$
• Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial
• T-duality on Almost Hermitian Spaces
• Bethe/Gauge correspodence: a short review on an aspect of the integrability nature of supersymmetric gauge theories
• Mass Hierarchy of Z(2) Monopoles
• Geometrizing the Anomaly
• Algebraic structures of Vassiliev invariants for knot families
• Holographic thermal propagator from modularity
• Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory
• Macdonald Index From Refined Kontsevich-Soibelman Operator
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• S-Duality in N=4 Yang-Mills Theories
• Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
• The Dark Side of Double-Tensor Multiplets
• Exact Non-Abelian Supertubes
• Probing the Enhancon via Calculations in Supersymmetric Gauge Theory
• Ratio of Quark Masses in Duality Theories
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Discrete anomalies and the null cone of SYM theories
• Spectral asymmetry and supersymmetry
• Eigenvalue Estimates of the ${\mathrm{spin}}^c$ Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds
• Confining Strings in Supersymmetric Theories with Higgs Branches
• The rigid limit in Special Kähler geometry for SU(2) SYM with a massive quark hypermultiplet
• Gauge Zero-Modes on ALE Manifolds
• Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter
• Mirror Symmetry and the Web of Landau-Ginzburg String Vacua