Solutions Of Four-Dimensional Field Theories Via M Theory

Abstract

N=2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIA superstrings, and then reinterpreting those configurations in M theory. This approach leads to explicit solutions for the Coulomb branch of a large family of four-dimensional N=2 field theories with zero or negative beta function.

43 pp., harvmac

References in corpus (4)

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• Branes and N=1 Duality in String Theory
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Branes and Mirror Symmetry in N=2 Supersymmetric Gauge Theories in Three Dimensions

Cited by in corpus (700)

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• Orbifolds of AdS_5xS^5 and 4d Conformal Field Theories
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• Brane Configurations and 4D Field Theory Dualities
• Surface Operators and Separation of Variables
• Mirror Symmetry and a $G_2$ Flop
• BPS Wall Crossing and Topological Strings
• M5 brane and four dimensional N=1 theories I
• Geometric Realizations of BPS States in N=2 Theories
• Intersecting brane solutions in string and M-theory
• N=2 gauge theories and degenerate fields of Toda theory
• Nahm Equations and Boundary Conditions
• Four-dimensional BPS-spectra via M-theory
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• Mass-deformed $T_N$ as a linear quiver
• Spiked Instantons from Intersecting D-branes
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• String Junctions and BPS States in Seiberg-Witten Theory
• On Irregular Singularity Wave Functions and Superconformal Indices
• N=1 dynamics with T_N theory
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• Domain Walls in Supersymmetric Yang-Mills Theories
• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• Quantum Curves and D-Modules
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• Argyres-Douglas Theories and S-Duality
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• Gravitational Instantons and Fluxes from M/F-theory on Calabi-Yau fourfolds
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• Seiberg-Witten Geometries Revisited
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• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
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• From SO/Sp instantons to W-algebra blocks
• On the M-Theory Approach to (Compactified) 5D Field Theories
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• Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
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• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
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• Linear Quivers and N=1 SCFTs from M5-branes
• The Curve of Compactified 6D Gauge Theories and Integrable Systems
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• Deformed Seiberg-Witten Curves for ADE Quivers
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• Exploring 5d BPS Spectra with Exponential Networks
• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Compactification, Geometry and Duality: N=2
• Discrete theta angle from an O5-plane
• D-brane instantons and the effective field theory of flux compactifications
• N=1 Geometries via M-theory
• Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
• New N=2 superconformal field theories from M/F theory orbifolds
• 3d-3d Correspondence Revisited
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• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• Riemann-Hilbert correspondence and blown up surface defects
• Effective Action of Domain Wall Networks
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• On non-commutative N=2 super Yang-Mills
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• On 6d N=(2,0) theory compactified on a Riemann surface with finite area
• Attractors at weak gravity
• N = 1 Field Theory Duality from M-theory
• Non-invertible symmetries along 4d RG flows
• Higher laminations, webs and N=2 line operators
• Orbifolding the Twistor String
• Massless Flavor in Geometry and Matrix Models
• ADE Little String Theory on a Riemann Surface (and Triality)
• The WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
• Toda Theory From Six Dimensions
• U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
• Generalized Hitchin system, Spectral curve and N=1 dynamics
• Meta-Stable Brane Configuration with Orientifold 6 Plane
• On the Twisted (2,0) and Little-String Theories
• Strong Coupling Dynamics of Four-Dimensional N=1 Gauge Theories from M Theory Fivebrane
• On the M-theory Interpretation of Orientifold Planes
• 't Hooft Operators in Gauge Theory from Toda CFT
• Crystal Melting and Wall Crossing Phenomena
• A 5d/3d duality from relativistic integrable system
• Holography, Brane Intersections and Six-dimensional SCFTs
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• N=2 Gauge Theories and Systems with Fractional Branes
• Matrix model from N = 2 orbifold partition function
• 4d N=2 SCFT and singularity theory Part I: Classification
• D-branes in non-critical superstrings and minimal super Yang-Mills in various dimensions
• Generalized matrix models and AGT correspondence at all genera
• Branes, Geometry and N=1 Duality with Product Gauge Groups of SO and Sp
• Quantum Deconstruction of a 5D SYM and its Moduli Space
• Three Dimensional N=2 Gauge Theories and Degenerations of Calabi-Yau Four-Folds
• Branes, U-folds and hyperelliptic fibrations
• More on Meta-Stable Brane Configuration
• Quiver gauge theories and integrable lattice models
• The Seiberg-Witten Differential From M-Theory
• Wall Crossing Invariants: from quantum mechanics to knots
• Punctures for Theories of Class ${\mathcal{S}}_{\Gamma }$
• 3-manifold topology and the Donaldson-Witten partition function
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• The N=2 cascade revisited and the enhancon bearings
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• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
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• On Monopoles and Domain Walls
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• Geometrical Aspects of An Abelian (2,0) Action
• Seiberg-Witten curve via generalized matrix model
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• N=1 Field Theories and Fluxes in IIB String Theory
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• Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• Gauge Theories with Tensors from Branes and Orientifolds
• AdS/CFT and BPS Strings in Four Dimensions
• On 2d TQFTs whose values are holomorphic symplectic varieties
• The moduli space of vacua of N=2 class S theories
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• Quantum geometry from the toroidal block
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Gauge Fields and M-Fivebrane Dynamics
• ABJ(M) and Fractional M2's with Fractional M2 Charge
• Exact Deconstruction of the 6D (2,0) Theory
• A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours
• Solitons in Supersymmety Breaking Meta-Stable Vacua
• Surface defects in gauge theory and KZ equation
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• Cubic curves from instanton counting
• 2d SCFTs from M2-branes
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• Fractional Branes, Confinement, and Dynamically Generated Superpotentials
• Duality cascades and duality walls
• Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
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• Surface defects as transfer matrices
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• Wilson loops in circular quiver SCFTs at strong coupling
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• Dyonic Instantons in 5-dim Yang-Mills Chern-Simons Theories
• Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
• Green-Schwarz Automorphisms and 6D SCFTs
• M5-brane geometries, T-duality and fluxes
• N=1 Supersymmetric Gauge Theories and Supersymmetric 3-cycles
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Elliptic models and M-theory
• String Creation and Monodromy from Fractional D-branes on ALE spaces
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• N=1* vacua, Fuzzy Spheres and Integrable Systems
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Generalized Whittaker states for instanton counting with fundamental hypermultiplets
• ADHM and D-instantons in orbifold AdS/CFT duality
• Confining Phase of N=1 $Sp(N_c)$ Gauge Theories via M Theory Fivebrane
• Sp(N_c) Gauge Theories and M Theory Fivebrane
• Fiber-base duality from the algebraic perspective
• A Stable Non-BPS Configuration From Intersecting Branes and Antibranes
• Non-extremal Localised Branes and Vacuum Solutions in M-Theory
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• A geometric recipe for twisted superpotentials
• Monopole Bubbling via String Theory
• On the six-dimensional origin of the AGT correspondence
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Modular and duality properties of surface operators in N=2* gauge theories
• Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Vortex counting from field theory
• Geometric construction of elliptic integrable systems and N=1^* superpotentials
• Branes and fluxes in special holonomy manifolds and cascading field theories
• Stable vs Unstable Vortices in SQCD
• The global anomalies of (2,0) superconformal field theories in six dimensions
• Recent Developments in String Theory
• Dessins d'Enfants in $\mathcal{N}=2$ Generalised Quiver Theories
• Argyres-Douglas theories and Liouville Irregular States
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• AGT conjecture and AFLT states: a complete construction
• The Field Theory of Non-Supersymmetric Brane Configurations
• Status Report on the Instanton Counting
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• Seiberg-Witten Theory and Integrable Systems
• Geometric Endoscopy and Mirror Symmetry
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• Holography, Singularities on Orbifolds and 4D N=2 SQCD
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• A Proof of Brane Creation via M theory
• (de)Tails of Toda CFT
• The Field Theory of Intersecting D3-branes
• Monopole Dynamics from the M-Fivebrane
• Orientifold dual for stuck NS5 branes
• BPS Hall Algebra of Scattering Hall States
• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups
• String Theory or Field Theory?
• Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems
• New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• The monodromy of T-folds and T-fects
• Type-B Anomaly Matching and the 6D (2,0) Theory
• Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle
• Integrability, Seiberg-Witten Models and Picard-Fuchs Equations
• Universal hypermultiplet metrics
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• M-theory curves from warped AdS${}_6$ in Type IIB
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• Resurgence in the Bi-Yang-Baxter Model
• The M theory lift of two O6 planes and four D6 branes
• Gravity dual of dynamically broken supersymmetry
• Non-perturbative studies of N=2 conformal quiver gauge theories
• Domain Walls in MQCD and Monge-Ampere Equation
• 1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• Branes and Electric-Magnetic Duality in Supersymmetric QCD
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• Brane Boxes: Bending and Beta Functions
• Softly Broken MQCD and the Theta Angle
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• Parametric dependence of irregular conformal block
• Large N limit of 2D Yang-Mills Theory and Instanton Counting
• The Off-shell M5-brane and Non-Perturbative Gauge Theory
• The BPS Spectrum Generator In 2d-4d Systems
• Seiberg-Witten Theory and Calogero-Moser Systems
• Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories
• Observations on BPS observables in 6d
• Irregular conformal block, spectral curve and flow equations
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• N=2 Superfields and the M-Fivebrane
• Wilson-'t Hooft lines as transfer matrices
• Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
• The M-theory origin of global properties of gauge theories
• D=4 supergravity dynamically coupled to superstring in a superfield Lagrangian approach
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Hopf reductions, fluxes and branes
• Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups
• Transmutation of N=2 fractional D3 branes into twisted sector fluxes
• Omega-Deformed Seiberg-Witten Effective Action from the M5-brane
• The Cascade is a MMS Instanton
• Moduli Space for Conifolds as Intersection of Orthogonal D6 branes
• The Splitting of Branes on Orientifold Planes
• M-Theory and Hypercharge
• Center vortices and k-strings
• Pure N=2 Super Yang-Mills and Exact WKB
• A cascading N=1 Sp(2N+2M)xSp(2N) gauge theory
• ABCD of 't Hooft operators
• Moduli and Brane Intersections
• Meta-Stable Brane Configurations with Seven NS5-Branes
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Supersymmetric M5-branes with H-field
• 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
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• On the Integrability of Four Dimensional N=2 Gauge Theories in the Omega Background
• From $S^1$-fixed points to $\mathcal{W}$-algebra representations
• On the Spatial Structure of Monopoles
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• On the WDVV Equation and M-Theory
• Conformal S-dualities from O-planes
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Static Charges in the Low-Energy Theory of the S-Duality Twist
• Surface operators in 5d gauge theories and duality relations
• Modular anomaly equations and S-duality in N=2 conformal SQCD
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Holographic realization of large-Nc orbifold equivalence with non-zero chemical potential
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Higher Winding Strings and Confined Monopoles in N=2 SQCD
• Four flavours, triality and bimodular forms
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• Non-Critical String Duals of N=1 Quiver Theories
• Gauge Unification via Stable Brane Recombination
• Linear Quivers at Large-$N$
• Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
• Warped Compactifications and AdS/CFT
• IIA Perspective On Cascading Gauge Theory
• The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on Asymptotically-AdS_5
• Alternative large Nc baryons and holography
• Geometrical Analysis of Brane Creation via M-Theory
• Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
• World-sheet Instantons via the Myers Effect and N=1^* Quiver Superpotentials
• Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
• Spectral networks and Fenchel-Nielsen coordinates
• Induced scalar potentials for hypermultiplets
• Non-Abelian Field Theory of stable non-BPS Branes
• Super-Yang-Mills theories on S4 x R
• Confinement and duality in supersymmetric gauge theories
• On the Baryonic Branch Root of N=2 MQCD
• Supersymmetry Breaking Vacua from M Theory Fivebranes
• Integration Over The u-Plane In Donaldson Theory With Surface Operators
• Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua
• The Nonperturbative Gauge Coupling of N=2 Supersymmetric Theories
• One-instanton predictions of Seiberg-Witten curves for product groups
• The gravity duals of SO/USp superconformal quivers
• Current Density Distributions and a Supersymmetric Action for Interacting Brane Systems
• The geometry of the M5-branes and TQFTs
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• A Family of N=2 Gauge Theories with Exact S-Duality
• Comments on $SO/Sp$ Gauge Theories from Brane Configurations with an O6 Plane
• Inozemtsev System as Seiberg-Witten Integrable system
• Seiberg-Witten Theory as d<1 Topological Strings
• The trouble with twisting (2,0) theory
• M-theory realization of a N=1 supersymmetric chiral gauge theory in four dimensions
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Dualities in all order finite N=1 gauge theories
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Dial M for Flavor Symmetry Breaking
• Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
• Modular properties of 6d (DELL) systems
• N=1 Theories, T-duality, and AdS/CFT correspondence
• The U(1)s in the Finite N Limit of Orbifold Field Theories
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Quivers via anomaly chains
• The Shapes of Dirichlet Defects
• Higher Derivative Terms from Threebranes in F Theory
• Seiberg-Witten Geometry with Various Matter Contents
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• An(1) Affine Quiver Matrix Model
• Special geometry of Calabi-Yau compactifications near a rigid limit
• Geometric Approach to 3D Interfaces at Strong Coupling
• T-duality and the Worldvolume Solitons of Five-Branes and KK-Monopoles
• An infrared bootstrap of the Schur index with surface defects
• Supersymmetry Algebra in Super Yang-Mills Theories
• Index-Like Theorems from Line Defect Vevs
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• Matrix Models, Monopoles and Modified Moduli
• Bispectral duality and separation of variables from surface defect transition
• Non-BPS Dirac-Born-Infeld Solitons
• An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential
• Note on a duality of topological branes
• Describing codimension two defects
• Localization on the D-brane, two-dimensional gauge theory and matrix models
• Instanton Counting and Dielectric Branes
• Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
• Precision "Measurements" of the $Q\bar{Q}$ Potential in MQCD
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• K3 metrics from little string theory
• Supersymmetry and Strongly Coupled Gauge Theories
• Duality and Modularity in Elliptic Integrable Systems and Vacua of N=1* Gauge Theories
• The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories
• Comments on chiral algebras and $\Omega$-deformations
• D-instanton probe and the enhançon mechanism from a quiver gauge theory
• Surface Defects from Fractional Branes -- II
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
• Holographic M5 branes in $Ad{S}_7\times S^4$
• More on the SW-QNM correspondence
• Little Theories in Six and Seven Dimensions
• Four-dimensional N=2 Field Theory and Physical Mathematics
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry
• Branes and Vector-like Supersymmetry Breaking Theories with Gauged Global Symmetry
• Extended Objects in MQCD
• Surface Defects from Fractional Branes -- I
• Higher-dimensional field theories from type II supergravity
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• Topological aspects of the NS5-brane
• Spacetime and large local transformations
• Tropological Sigma Models
• Five-dimensional gauge theories and the local B-model
• "Lagrangian Disks" in M-theory
• Topological correlators of $SU(2)$, $\mathcal{N}=2^{\ast }$ SYM on four-manifolds
• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• Orientifolds in N=2 Liouville Theory and its Mirror
• A Journey Between Two Curves
• Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models
• M theory and the ``integrating in'' method with an antisymmetric tensor
• On the Brane Configuration of $N=(4,4)$ 2D supersymmetric gauge theory
• F-Theory, Seiberg-Witten Curves and N = 2 Dualities
• Flavour from partially resolved singularities
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• The Geometry of SUSY Enhancement
• Disconnected gauge groups in the infrared
• Seiberg-Witten period relations in Omega background
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• A Note on Wilson Loop in N=2 Quiver/M theory Gravity Duality
• Hyperelliptic Integrable Systems on K3 and Rational Surfaces
• The Prepotential of N=2 SU(2) x SU(2) Supersymmetric Yang-Mills Theory with Bifundamental Matter
• $\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality
• Comments on fractional instantons in N=2 gauge theories
• Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
• On Superspace Chern-Simons-like Terms
• M-Theory Five-brane Wrapped on Curves for Exceptional Groups
• Quantum Deconstruction of 5D SQCD
• Solution of quantum integrable systems from quiver gauge theories
• Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
• Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models, Branes and Laughlin Wave Functions
• Duality in Non-Supersymmetric MQCD
• A Note on Softly Broken MQCD
• Fractional D3-branes in diverse backgrounds
• Orbifold Vortex and Super Liouville Theory
• Generalized Toda Theory from Six Dimensions and the Conifold
• Lens space index and global properties for 4d N = 2 models
• On Matrix Models of M5-branes
• Matrix String Theory from Brane Configuration
• M Theory Fivebrane and SQCD
• Noncommutative Geometry and Twisted Little-String Theories
• The light spectrum near the Argyres-Douglas point
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Secondary products in supersymmetric field theory
• Aspects of Confinement and Screening in M theory
• Inherited Duality and Quiver Gauge Theory
• BPS Mass, Dirichlet Boundary Condition, and the Isotropic Coordinate System
• Holographic MQCD
• Non-perturbative aspects of gauge/gravity duality
• Remarks on the M5-Brane
• M-Theory and Two-Dimensional Effective Dynamics
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane
• Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models
• Exact low-energy effective actions for hypermultiplets in four dimensions
• Central charges of wrapped M5-brane backgrounds
• Non-Geometric Magnetic Flux and Crossed Modules
• The Toda system and solution to the $\mathcal{N}$=2 SUSY Yang-Mills theory
• Superconformal Quantum Mechanics and the Discrete Light-Cone Quantisation of N=4 SUSY Yang-Mills
• Effects in Gauge Theories and a Harmonic Function on $E_{10}$
• Going down from a 3-form in 16 dimensions
• Ramification Points of Seiberg-Witten Curves
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Topological charges in 2d N=(2,2) theories and massive BPS states
• A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories
• W Algebras from AdS/CFT Correspondence
• Deriving N=2 S-dualities from Scaling for Product Gauge Groups
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories
• A plethora of K3 metrics
• Les Houches lectures on non-perturbative Seiberg-Witten geometry
• Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons
• Review of SU(2)-Calibrations
• The Super-potential and Holomorphic properties of the MQCD
• Gravitational signatures of ALP dark matter fragmentation
• Families of Hitchin systems and N=2 theories
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• Can Moduli Fields parametrize the Cosmological Constant?
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution
• M theory and the Coulomb phase of higher rank DT invariants
• Quark confinement via magnetic color-flavor locking
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories
• Compactification and Identification of Branes in the Kaluza-Klein monopole backgrounds
• Anomalous N=2 superconformal Ward identities
• Quiver Gauge theories from Lie Superalgebras
• Instantons on a Non-commutative $T^4$ from Twisted (2,0) and Little-String Theories
• Semiclassical Entropy of BPS States in 4d $\mathcal{N}=2$ Theories and Counts of Geodesics
• On N=2 Seiberg Duality for Quiver Theories
• M5-brane prongs, string soliton bound states and wall-crossing
• Dualities in integrable systems and N=2 theories
• A Path Integral for the Chiral-Form Partition Function
• A Note on the Hitchin System in a Background B-field
• Meta-Stable Brane Configurations of Triple Product Gauge Groups
• Factorized class $S$ theories and surface defects
• Modular properties of surface operators in N=2 SQCD
• A Note on the Stringy Embeddings of Certain N = 2 Dualities
• Ratio of Quark Masses in Duality Theories
• Quark Condensates in Non-Supersymmetric MQCD
• Microscopic- versus Effective Coupling in N=2 Yang-Mills With Four Flavours
• Aspetti non perturbativi della Teoria delle Stringhe
• Holographic backgrounds from D-brane probes
• Type IIB 2-form Fields and Gauge Coupling Constant of 4D N=2 super QCD
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Strings and D-branes in holographic backgrounds
• Duality in SU(N) x SU(N') Product Group from M theory
• Meta-Stable Brane Configurations with Five NS5-Branes
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly
• Singularity Structure of N=2 Supersymmetric Yang-Mills Theories: A Review
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• Meta-Stable Brane Configurations of Multiple Product Gauge Groups with Orientifold 6 Plane
• Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories