New Phenomena in SU(3) Supersymmetric Gauge Theory

Abstract

We show that four-dimensional N=2 supersymmetric SU(n) gauge theory for n>2 necessarily contains vacua with mutually non-local massless dyons, using only analyticity of the effective action and the weak coupling limit of the moduli space of vacua. A specific example is the Z_3 point in the exact solution for SU(3), and we study its effective Lagrangian. We propose that the low-energy theory at this point is an N=2 superconformal U(1) gauge theory containing both electrically and magnetically charged massless hypermultiplets.

40 pages and 11 figures in uuencoded file

References in corpus (9)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Simple Singularities and N=2 Supersymmetric Yang-Mills Theory
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• Duality Symmetric Actions
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• Phases of N=1 supersymmetric gauge theories in four dimensions

Cited by in corpus (414)

• Large N Field Theories, String Theory and Gravity
• Solutions Of Four-Dimensional Field Theories Via M Theory
• CFT's From Calabi-Yau Four-folds
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• The Exact Superconformal R-Symmetry Maximizes a
• New N=2 Superconformal Field Theories in Four Dimensions
• Brane Dynamics and Gauge Theory
• Four-dimensional wall-crossing via three-dimensional field theory
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• Branes, Superpotentials and Superconformal Fixed Points
• The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• Integrable systems and supersymmetric gauge theory
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions
• Non-Abelian String Junctions as Confined Monopoles
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• N=2 Supersymmetric RG Flows and the IIB Dilaton
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• General Argyres-Douglas Theory
• Large N and double scaling limits in two dimensions
• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• BPS States of Exceptional Non-Critical Strings
• Vertex operator algebras, Higgs branches, and modular differential equations
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• N=1 Deformations and RG Flows of N=2 SCFTs
• The $\mathcal{N}=2$ superconformal bootstrap
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• Quantum Vortex Strings: A Review
• LSZ in LST
• D3/D7 Brane Inflation and Semilocal Strings
• Introduction to Seiberg-Witten Theory and its Stringy Origin
• On the Superconformal Index of Argyres-Douglas Theories
• Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
• Wild Quiver Gauge Theories
• Irregular singularities in Liouville theory
• Evidence for the Strongest Version of the 4d a-Theorem, via a-Maximization Along RG Flows
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Improved bounds for CFT's with global symmetries
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Classification of Argyres-Douglas theories from M5 branes
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• A 4d N=1 Cardy Formula
• Stress-tensor OPE in N=2 Superconformal Theories
• Surface Defects and Chiral Algebras
• Surface Defects and Resolvents
• The BPS Spectra and Superconformal Points in Massive N=2 Supersymmetric QCD
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Infrared Computations of Defect Schur Indices
• Infinitely many N=2 SCFT with ADE flavor symmetry
• On Painlevé/gauge theory correspondence
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• N=2 supersymmetric dynamics for pedestrians
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories
• New N=1 Dualities
• Central charges and RG flow of strongly-coupled N=2 theory
• Chiral algebra of Argyres-Douglas theory from M5 brane
• N=1 Lagrangians for generalized Argyres-Douglas theories
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Selected Topics in the Large Quantum Number Expansion
• On 4d rank-one N=3 superconformal field theories
• Toroidal Orientifolds in IIA with General NS-NS Fluxes
• Non-perturbative approaches to the quantum Seiberg-Witten curve
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• The Silence of the Little Strings
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• 3d analogs of Argyres-Douglas theories and knot homologies
• Universal correlation functions in rank 1 SCFTs
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Higher Form Symmetries of Argyres-Douglas Theories
• Constraints on Chiral Operators in N=2 SCFTs
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• Worldsheet Descriptions of Wrapped NS Five-Branes
• Holomorphicity and Modularity in Seiberg-Witten Theories with Matter
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• Modular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity
• Categorical Tinkertoys for N=2 Gauge Theories
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Penrose Limits of Orbifolds and Orientifolds
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• New Seiberg Dualities from N=2 Dualities
• Spiked Instantons from Intersecting D-branes
• Comments on scaling limits of 4d N=2 theories
• On Irregular Singularity Wave Functions and Superconformal Indices
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Argyres-Douglas Theories and S-Duality
• Three-dimensional gauge theories with supersymmetry enhancement
• Macdonald Index and Chiral Algebra
• N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD
• 4d $\mathcal{N}=2$ S-folds
• Extremal Correlators and Random Matrix Theory
• N=2 S-duality Revisited
• Marginal Stability and the Metamorphosis of BPS States
• N = 1 SCFTs from Brane Monodromy
• Deconfinement at the Argyres-Douglas point in SU(2) gauge theory with broken N=2 supersymmetry
• Exceptional SW Geometry from ALE Fibrations
• Holographic Duals of Argyres-Douglas Theories
• $N=2$ Super Yang-Mills and Subgroups of $SL(2,Z)$
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
• Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs
• Non-Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD
• RG flows with supersymmetry enhancement and geometric engineering
• The BPS Spectrum of N=2 SU(N) SYM and Parton Branes
• More Three Dimensional Mirror Pairs
• Strong Coupling Expansions of SU(N) Seiberg-Witten Theory
• The web of Calabi-Yau hypersurfaces in toric varieties
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Logarithmic W-algebras and Argyres-Douglas theories at higher rank
• Long Multiplet Bootstrap
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
• Quantum Higgs branches of isolated N=2 superconformal field theories
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• W_3 irregular states and isolated N=2 superconformal field theories
• Studying superconformal symmetry enhancement through indices
• A slow review of the AGT correspondence
• A New Derivation of the Picard-Fuchs Equations for Effective $N=2$ Super Yang-Mills Theories
• RG-Whitham dynamics and complex Hamiltonian systems
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• Strings, Branes and Extra Dimensions
• Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
• New N=2 superconformal field theories from S-folds
• Is the Standard Model saved asymptotically by conformal symmetry?
• Counting RG flows
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• D3-branes and M5-branes wrapped on a topological disc
• Massless Monopoles Via Confining Phase Superpotentials
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II: special Kahler stratification of the Coulomb branch
• A Solvable Deformation of Quantum Mechanics
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• From 6D SCFTs to Dynamic GLSMs
• ADE Spectral Networks
• The large Nc limit of N=2 super Yang-Mills, fractional instantons and infrared divergences
• N=1 Geometries via M-theory
• Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories
• Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates
• Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories
• Landscape of Simple Superconformal Field Theories in 4d
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• The vertex algebras ${\mathcal{R}}^{(p)}$ and ${\mathcal{V}}^{(p)}$
• N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane Probe
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Exploring the Minimal 4D $\mathcal{N}=1$ SCFT
• Z_k String fluxes and monopole confinement in non-Abelian theories
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
• Exact results for topological strings on resolved Y(p,q) singularities
• On the Moduli Space of N = 2 Supersymmetric G_2 Gauge Theory
• BPS States in Omega Background and Integrability
• Phases of N=1 Supersymmetric Gauge Theories with Flavors
• Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons
• Nonabelian Monopoles
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid
• On The Warped Heterotic Axion
• Self-Dual Strings and Stability of BPS States in N=2 SU(2) Gauge Theories
• The Infrared Fixed Points of 3d $\mathcal{N}=4$ $USp(2N)$ SQCD Theories
• ODE/IM correspondence and the Argyres-Douglas theory
• The dyon spectra of finite gauge theories
• Exact Electric-Magnetic Duality in N=2 Supersymmetric QCD Theories
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• N=2 gauge theories and quantum phases
• Schur sector of Argyres-Douglas theory and $W$-algebra
• Multi-instanton calculus versus exact results in N=2 supersymmetric QCD
• On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories
• Argyres-Douglas theories, Painlevé II and quantum mechanics
• Braided Tensor Categories related to ${\mathcal{B}}_p$ Vertex Algebras
• Rationalizing CFTs and Anyonic Imprints on Higgs Branches
• Some Navigation Rules for D-Brane Monodromy
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II
• Isomonodromic Properties of the Seiberg-Witten Solution
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
• Holographic duals of M5-branes on an irregularly punctured sphere
• New N=1 Superconformal Field Theories in Four Dimensions from D-brane Probes
• Quantum Moduli Spaces of $N=1$ String Theories
• Superconformal Vortex Strings
• An N=1 Lagrangian for an N=3 SCFT
• An N=1 Lagrangian for the rank 1 E6 superconformal theory
• SUSY enhancement from T-branes
• Dark Monopoles and SL(2,Z) Duality
• On the chiral algebra of Argyres-Douglas theories and S-duality
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Charge fractionization in N=2 supersymmetric QCD
• Distribution of Flux Vacua around Singular Points in Calabi-Yau Moduli Space
• Trisecting non-Lagrangian theories
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• A search for minimal 4d N=1 SCFT
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism
• Argyres-Douglas Theories in Class S Without Irregularity
• Non-supersymmetric cousins of supersymmetric gauge theories: quantum space of parameters and double scaling limits
• N=1 curves for trifundamentals
• Four-dimensional Lens Space Index from Two-dimensional Chiral Algebra
• Strong coupling expansion and Seiberg-Witten-Whitham equations
• BPS spectrum of Argyres-Douglas theory via spectral network
• On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Branches of N=1 Vacua and Argyres-Douglas Points
• CP, Charge Fractionalizations and Low Energy Effective Actions in the SU(2) Seiberg-Witten Theories with Quarks
• Resolving spacetime singularities in flux compactifications & KKLT
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Four dimensional superconformal theories from M5 branes
• The moduli space of vacua of N=2 class S theories
• Line defect Schur indices, Verlinde algebras and $U(1{)}_r$ fixed points
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• SIMP from a strong U(1) gauge theory with a monopole condensation
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• Anomaly Constraints on Monopoles and Dyons
• The Conformal Sector of F-theory GUTs
• S-Duality and Helicity Amplitudes
• Higgs branch RG-flows via Decay and Fission
• Minimal Distances Between SCFTs
• Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Infrared enhancement of supersymmetry in four dimensions
• Exceptional points in quantum and classical dynamics
• A Note on the Picard-Fuchs Equations for N=2 Seiberg-Witten Theories
• Aspects of Irregular Punctures via Holography
• Classical Virasoro irregular conformal block
• Strings on conifolds from strong coupling dynamics, part I
• Elliptic models and M-theory
• Uniqueness of the Seiberg-Witten Effective Lagrangian
• AdS${}_3$ vacua and RG flows in three dimensional gauged supergravities
• A Small Deformation of a Simple Theory
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Screening in strongly coupled N=2* supersymmetric Yang-Mills plasma
• Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory
• Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets
• On the next-to-leading-order correction to the effective action in N=2 gauge theories
• Long Range Forces and Supersymmetric Bound States
• WKB periods for higher order ODE and TBA equations
• The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8
• The Coulomb branch of N=1 supersymmetric gauge theory with adjoint and fundamental matter
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge Theory
• Argyres-Douglas matter and S-duality: Part II
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• A geometric recipe for twisted superpotentials
• Kinetic Mixing at Strong Coupling
• Singular points in N=2 SQCD
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Discrete Painleve system for the partition function of $N_f=2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit
• Argyres-Douglas theories and Liouville Irregular States
• Classification of large N superconformal gauge theories with a dense spectrum
• Exact amplitudes in four dimensional non-critical string theories
• Flowing from 16 to 32 Supercharges
• Bootstrapping Coulomb and Higgs branch operators
• Elliptic Loci of SU(3) Vacua
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Notes on Integral Identities for 3d Supersymmetric Dualities
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• M2-branes wrapped on a topological disk
• The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial
• Cosmologically safe QCD axion without fine-tuning
• Singular Calabi-Yau Manifolds and ADE Classification of CFTs
• Parametric dependence of irregular conformal block
• Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• The BPS Spectrum Generator In 2d-4d Systems
• Irregular conformal block, spectral curve and flow equations
• Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• $T$, $Q$ and periods in $SU(3)$ $\mathcal{N}=2$ SYM
• On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories
• OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$ Superconformal Field Theories
• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories
• Classification of the N=1 Seiberg-Witten Theories
• Unitarity bounds and RG flows in time dependent quantum field theory
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• A new rank-2 Argyres-Douglas theory
• Crossover between Abelian and non-Abelian confinement in N=2 supersymmetric QCD
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Nilpotent Networks and 4D RG Flows
• Non-Critical Superstrings from Four-Dimensional Gauge Theory
• Subregular W-algebras of type A
• Matrix Models, Argyres-Douglas singularities and double scaling limits
• Duality Symmetries for N=2 Supersymmetric QCD with Vanishing beta-Functions
• A-D-E Singularity and Prepotentials in N=2 Supersymmetric Yang-Mills Theory
• Diphoton Excess as a Hidden Monopole
• Testing Macdonald Index as a Refined Character of Chiral Algebra
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• The Chiral Algebra of Genus Two Class $\mathcal{S}$ Theory
• Non-Critical String Duals of N=1 Quiver Theories
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Four flavours, triality and bimodular forms
• OPE coefficients in Argyres-Douglas theories
• Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD
• $K3$-Fibrations and Softly Broken $N=4$ Supersymmetric Gauge Theories
• Abelian Fibrations, String Junctions, and Flux/Geometry Duality
• Emergent N=4 supersymmetry from N=1
• Color Superconductivity in N=2 Supersymmetric Gauge Theories
• Large N gauge theories and topological cigars
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Double Scaling Limits in Gauge Theories and Matrix Models
• Finiteness of Flux Vacua from Geometric Transitions
• New Confinement Phases from Singular SCFT
• Argyres-Douglas Theories, S-duality and AGT Correspondence
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• Multicritical points of unitary matrix model with logarithmic potential identified with Argyres-Douglas points
• On metastable vacua in perturbed N=2 theories
• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
• Almost Conformal Vacua and Confinement
• N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler
• Moduli Space Metric of N=2 Supersymmetric SU(N) Gauge Theory and the Enhancon
• Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• Charges of dyons in N=2 supersymmetric gauge theory
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
• An infrared bootstrap of the Schur index with surface defects
• BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses
• Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory
• On the Protected Spectrum of the Minimal Argyres-Douglas Theory
• Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory
• Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• Irregular matrix model with $\mathcal{W}$ symmetry
• Mapping Dirac gaugino masses
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Geometric Approach to 3D Interfaces at Strong Coupling
• Partition function of N=2* SYM on a large four-sphere
• Non-perturbative double scaling limits
• N=1 G_2 SYM theory and Compactification to Three Dimensions
• No go for a flow
• Irregular Vertex Operators for Irregular Conformal Blocks
• On the N=1* Gauge Theory on a Circle and Elliptic Integrable Systems
• The $u$-plane integral, mock modularity and enumerative geometry
• Nilpotent orbit Coulomb branches of types AD
• Matrix Models, Monopoles and Modified Moduli
• On Confinement Index
• The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• Electroweak Symmetry Breaking From Monopole Condensation
• $E_8$ spectral curves
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Dynamical Supersymmetry Breaking from Meta-stable Vacua in an N=1 Supersymmetric Gauge Theory
• Argyres-Douglas Avatars of Coulomb Branch Physics
• Exact Operator Map from Strong Coupling to Free Fields: Beyond Seiberg-Witten Theory
• Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation
• A Family of Vertex Algebras from Argyres-Douglas Theory
• The Geometry of SUSY Enhancement
• Semicontinuity of 4d N=2 spectrum under renormalization group flow
• Dualities of Deformed $\mathcal{N}=2$ SCFTs from Link Monodromy on D3-brane States
• F-Theory, Seiberg-Witten Curves and N = 2 Dualities
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Potential analysis of N=2 SUSY gauge theory with the Fayet-Iliopoulos term
• Vertex Operators for Irregular Conformal Blocks: Supersymmetric Case
• Tri-vector deformations with external fluxes
• Wall Crossing Structures and Application to SU(3) Seiberg-Witten Integrable system
• Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
• Seiberg-Witten Theory of Rank Two Gauge Groups and Hypergeometric Series
• Knots, Braids and BPS States in M-Theory
• On the BPS Spectrum at the Root of the Higgs Branch
• BPS Open Strings and A-D-E-singularities in F-theory on K3
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Supersymmetry Breaking Triggered by Monopoles
• Deriving exact prepotential for $N=2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Ramification Points of Seiberg-Witten Curves
• B-brane transport in anomalous (2,2) models and localization
• A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f=2n-2$ flavors
• Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model
• New Theories With Quantum Modified Moduli Space
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• Monopoles, Clarified
• Interactions of Irregular Gaiotto States in Liouville Theory
• BPS index and 4d N=2 superconformal field theories
• Strongly-interacting massive particle and dark photon in the era of intensity frontier
• Perturbative Unitarity Calls for An Action
• Supersymmetric zeta functions and determinants
• Anomalous hydrodynamics with dyonic charge
• Multicharge Superstrings
• Summary of Results in N=1 Supersymmetric SU(2) Gauge Theories
• Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
• On a 5D UV completion of Argyres-Douglas theories
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• New conformal field theories by gauging electric and magnetic currents
• Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
• Codimension-2 brane solutions of maximal supergravities in 9, 8, and 7 dimensions
• Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory
• Aspects of 4d supersymmetric dynamics and geometry
• Geometrizing the Anomaly
• FI-flows of 3d N=4 Theories
• Probing the Enhancon via Calculations in Supersymmetric Gauge Theory
• Period Integrals, Quantum Numbers and Confinement in SUSY QCD
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Proof of $A_n$ AGT conjecture at $\beta =1$