N=2 dualities

Abstract

We study the generalization of S-duality and Argyres-Seiberg duality for a large class of N=2 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the ``very strongly coupled'' regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of N=2 theories defined by wrapping M5 branes over a Riemann surface.

59 pages, 43 figures

References in corpus (2)

• S-duality in N=2 supersymmetric gauge theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions

Cited by in corpus (824)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Infinite Chiral Symmetry in Four Dimensions
• QCD and strongly coupled gauge theories: challenges and perspectives
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• Exact Results in D=2 Supersymmetric Gauge Theories
• Vortex Counting and Lagrangian 3-manifolds
• Atomic Classification of 6D SCFTs
• A topologically twisted index for three-dimensional supersymmetric theories
• The Omega Deformation, Branes, Integrability, and Liouville Theory
• S-duality and 2d Topological QFT
• Four-Dimensional SCFTs from M5-Branes
• On AGT relation in the case of U(3)
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• The $(2,0)$ superconformal bootstrap
• Mirrors of 3d Sicilian theories
• On non-abelian T-dual geometries with Ramond fluxes
• Bootstrapping the superconformal index with surface defects
• General Argyres-Douglas Theory
• Darboux coordinates, Yang-Yang functional, and gauge theory
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Spectral networks
• Supersymmetry on Curved Spaces and Holography
• W Symmetry in six dimensions
• 2d Index and Surface operators
• On the Defect Group of a 6D SCFT
• Correlation Functions of Coulomb Branch Operators
• 4d Index to 3d Index and 2d TQFT
• On non-conformal limit of the AGT relations
• N=1 Deformations and RG Flows of N=2 SCFTs
• Asymptotically free N=2 theories and irregular conformal blocks
• The $\mathcal{N}=2$ superconformal bootstrap
• Holography for (1,0) theories in six dimensions
• Wall-Crossing in Coupled 2d-4d Systems
• Seiberg-Witten Theories on Ellipsoids
• Surface Operators in N=2 4d Gauge Theories
• On the Superconformal Index of Argyres-Douglas Theories
• The gravity duals of N=2 superconformal field theories
• Wild Quiver Gauge Theories
• Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
• Irregular singularities in Liouville theory
• Tinkertoys for the D_N series
• Para-Liouville/Toda central charges from M5-branes
• Recursion relations in CFT and N=2 SYM theory
• On AGT conjecture
• The Quiver Matrix Model and 2d-4d Conformal Connection
• A & B model approaches to surface operators and Toda theories
• N=2 Quantum Field Theories and Their BPS Quivers
• Gauge Theory and Integrability, II
• The Omega deformed B-model for rigid N=2 theories
• AdS_6 solutions of type II supergravity
• Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
• S-folds and 4d N=3 superconformal field theories
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• 6D SCFTs and Phases of 5D Theories
• Hitchin systems, N=2 gauge theories and W-gravity
• The Superconformal Index of the E_6 SCFT
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Chiral algebras of class S
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Down the rabbit hole with theories of class S
• Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Non-Lagrangian Theories from Brane Junctions
• Higgs branch localization in three dimensions
• Top Down Approach to 6D SCFTs
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• More on the N=2 superconformal systems of type $D_p(G)$
• Lagrangians for generalized Argyres-Douglas theories
• Coulomb Branch and The Moduli Space of Instantons
• Tinkertoys for the Twisted D-Series
• Exceptional Indices
• A 4d N=1 Cardy Formula
• Topological strings and 5d T_N partition functions
• Classification of Argyres-Douglas theories from M5 branes
• On Type IIA geometries dual to N = 2 SCFTs
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Stress-tensor OPE in N=2 Superconformal Theories
• Non-invertible Symmetries of Class $\mathcal{S}$ Theories
• The superconformal index of N=1 class S fixed points
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Seiberg-Witten theory, matrix model and AGT relation
• On Painlevé/gauge theory correspondence
• The String Landscape, the Swampland, and the Missing Corner
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Fiber-Base Duality and Global Symmetry Enhancement
• N=2 supersymmetric dynamics for pedestrians
• Anomaly polynomial of E-string theories
• Braids, Walls, and Mirrors
• Universal RG Flows Across Dimensions and Holography
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Trifectas for $T_N$ in 5d
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• New N=1 Dualities
• Zamolodchikov asymptotic formula and instanton expansion in N=2 SUSY N_f=2N_c QCD
• Ω-deformation and quantization
• Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories
• A "Lagrangian" for a non-Lagrangian theory
• BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
• Lifting 4d dualities to 5d
• Vertices, Vortices & Interacting Surface Operators
• BPS Black Holes in AdS4 from M-theory
• E-String Theory on Riemann Surfaces
• Central charges and RG flow of strongly-coupled N=2 theory
• M2-brane surface operators and gauge theory dualities in Toda
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• Chiral algebra of Argyres-Douglas theory from M5 brane
• On Non-Abelian T-Duality and new N=1 backgrounds
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Chiral Algebras for Trinion Theories
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• 5d Partition Functions with A Twist
• BPS/CFT correspondence IV: sigma models and defects in gauge theory
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• D-type Conformal Matter and SU/USp Quivers
• Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
• Quiver Tails and N=1 SCFTs from M5-branes
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Universal Features of BPS Strings in Six-dimensional SCFTs
• 3-Manifolds and 3d Indices
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• Reducing the 4d Index to the S^3 Partition Function
• Classification of 4d N=2 gauge theories
• Line Operator Index on S1 $\times$ S3
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Anomalies of Duality Groups and Extended Conformal Manifolds
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• 3d TQFT from 6d SCFT
• Spectral Duality Between Heisenberg Chain and Gaudin Model
• Tackling the SDC in AdS with CFTs
• $(0,4)$ dualities
• Duality Symmetric String and M-Theory
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• Tao Probing the End of the World
• 1/4 BPS AdS${}_3$/CFT${}_2$
• Global Properties of Supersymmetric Theories and the Lens Space
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
• Deformed N=2 theories, generalized recursion relations and S-duality
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Wild Wall Crossing and BPS Giants
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Discrete Gauging in Six Dimensions
• Classification of 5d N=1 gauge theories
• Surface Operators and Separation of Variables
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• Rank $Q$ E-string on a torus with flux
• BPS Wall Crossing and Topological Strings
• Constraints on Chiral Operators in N=2 SCFTs
• M5 brane and four dimensional N=1 theories I
• Compactifications of ADE conformal matter on a torus
• Cluster algebras from dualities of 2d N=(2,2) quiver gauge theories
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• The uses of the refined matrix model recursion
• Decoding a Three-Dimensional Conformal Manifold
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• The Superconformal Index of Class S Theories of Type D
• N=2 gauge theories and degenerate fields of Toda theory
• Categorical Tinkertoys for N=2 Gauge Theories
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• Tri-vertices and SU(2)'s
• $\mathcal{N}=2$ central charge bounds from $2d$ chiral algebras
• S-duality and the N=2 Lens Space Index
• AGT conjecture and Integrable structure of Conformal field theory for c=1
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• Mass-deformed $T_N$ as a linear quiver
• A review of the T_N theory and its cousins
• New Seiberg Dualities from N=2 Dualities
• Opers, surface defects, and Yang-Yang functional
• Spiked Instantons from Intersecting D-branes
• Comments on scaling limits of 4d N=2 theories
• N=1 dynamics with T_N theory
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• On Irregular Singularity Wave Functions and Superconformal Indices
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• Tinkertoys for the Z3-twisted D4 Theory
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Rotating Black Hole Entropy from M5-branes
• Argyres-Douglas Theories and S-Duality
• The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• Quivers as Calculators: Counting, Correlators and Riemann Surfaces
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• 4d $\mathcal{N}=2$ S-folds
• Exploring ${\mathcal{W}}_{\infty }$ in the quadratic basis
• The Superconformal Index of the (2,0) Theory with Defects
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• N=2 S-duality Revisited
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• 5D SYM and 2D q-Deformed YM
• On Exceptional Instanton Strings
• Gauge/Liouville Triality
• Aspects of Superconformal Multiplets in D>4
• Superconformal symmetry and maximal supergravity in various dimensions
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Calculating the jet-quenching parameter in STU background
• Ramond sector of super Liouville theory from instantons on an ALE space
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Quantum curves for Hitchin fibrations and the Eynard-Orantin theory
• 4D Gauge Theories with Conformal Matter
• RG flows with supersymmetry enhancement and geometric engineering
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• Aspects of Defects in 3d-3d Correspondence
• Superconformal indices of $\mathcal{N}=4$ SYM field theories
• Charting Class ${\mathcal{S}}_k$ Territory
• F-Theory and N=1 SCFTs in Four Dimensions
• More Three Dimensional Mirror Pairs
• The superconformal index and an elliptic algebra of surface defects
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• On a modular property of N=2 superconformal theories in four dimensions
• From 3d dualities to 2d free field correlators and back
• Central Charges of 2d Superconformal Defects
• Seiberg-Witten Geometries Revisited
• Electrostatic Description of Five-dimensional SCFTs
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Check of AGT Relation for Conformal Blocks on Sphere
• Gaiotto Duality for the Twisted A_{2N-1} Series
• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• Gauge Theory Wilson Loops and Conformal Toda Field Theory
• Anomalies of QFTs from M-theory and Holography
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• On 3d extensions of AGT relation
• The Liouville side of the Vortex
• Defect $a$-Theorem and $a$-Maximization
• Spectral Networks with Spin
• Spectral dualities in XXZ spin chains and five dimensional gauge theories
• Network and Seiberg Duality
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• The toroidal block and the genus expansion
• W_3 irregular states and isolated N=2 superconformal field theories
• Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers
• Positivity, negativity, and entanglement
• Generalized Jack polynomials and the AGT relations for the $SU(3)$ group
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Gauge Theories Labelled by Three-Manifolds
• N=1 conformal dualities
• Exact partition functions of Higgsed 5d $T_N$ theories
• The general M5-brane superconformal index
• A slow review of the AGT correspondence
• Nonunitary Lagrangians and unitary non-Lagrangian conformal field theories
• Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics
• 5d $E_n$ Seiberg-Witten curve via toric-like diagram
• A "Lagrangian" for the E7 Superconformal Theory
• New N=2 superconformal field theories from S-folds
• Chiral theories of class S
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• A gauge theory generalization of the fermion-doubling theorem
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Intersecting Surface Defects and Two-Dimensional CFT
• Holographic Uniformization
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• Towards a 4d/2d correspondence for Sicilian quivers
• From 6d flows to 4d flows
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• Wilson Loops and Chiral Correlators on Squashed Sphere
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• Intersecting Surface Defects and Instanton Partition Functions
• M-theoretic Genesis of Topological Phases
• Equations on knot polynomials and 3d/5d duality
• Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
• S-duality as a beta-deformed Fourier transform
• Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions
• An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and Relativistic and Elliptized Integrable Systems
• Correlators of supersymmetric Wilson loops at weak and strong coupling
• Surface defects, the superconformal index and q-deformed Yang-Mills
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Triality in Little String Theories
• Wilson loops in 5d long quiver gauge theories
• Holographic duals of five-dimensional SCFTs on a Riemann surface
• An elliptic Virasoro symmetry in 6d
• AdS5 compactifications with punctures in massive IIA supergravity
• Superconformal Index with Duality Domain Wall
• Deformed Seiberg-Witten Curves for ADE Quivers
• Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String
• N=2 Generalized Superconformal Quiver Gauge Theory
• Tinkertoys for the E7 Theory
• New N=1 Superconformal Field Theories In Four Dimensions
• Exceptional $\mathcal{N}=3$ theories
• From 6D SCFTs to Dynamic GLSMs
• Exact WKB Analysis of N = 2 Gauge Theories
• Holography of 3d-3d correspondence at Large N
• 6d (2,0) and M-theory at 1-loop
• Linear Quivers and N=1 SCFTs from M5-branes
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions
• 4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case
• The exact Schur index in closed form
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• Black hole microstate counting in Type IIB from 5d SCFTs
• Exploring 5d BPS Spectra with Exponential Networks
• Quantum Holonomies from Spectral Networks and Framed BPS States
• ADE Spectral Networks
• On the global symmetries of 6D superconformal field theories
• Seiberg Duality, 5d SCFTs and Nekrasov Partition Functions
• N=1 Geometries via M-theory
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• Riemann-Hilbert correspondence and blown up surface defects
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• New Directions in Bipartite Field Theories
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• On four dimensional N=3 superconformal theories
• N=1 theories of class S_k
• VOAs and rank-two instanton SCFTs
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Toda Theory From Six Dimensions
• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• Generalized Hitchin system, Spectral curve and N=1 dynamics
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• Higher laminations, webs and N=2 line operators
• BPS Graphs: From Spectral Networks to BPS Quivers
• ADE Little String Theory on a Riemann Surface (and Triality)
• Holographic Flows in non-Abelian T-dual Geometries
• Deformed supersymmetric gauge theories from the fluxtrap background
• Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
• New N=1 dualities from orientifold transitions - Part II: String Theory
• Anomalies involving the space of couplings and the Zamolodchikov metric
• On R-symmetric Fixed Points and Superconformality
• 3d-3d correspondence for mapping tori
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• On AGT description of N=2 SCFT with N_f=4
• Central charges from the $\mathcal{N}=1$ superconformal index
• Quantum Hitchin Systems via beta-deformed Matrix Models
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• 5d fixed points from brane webs and O7-planes
• 4d N=2 SCFT and singularity theory Part I: Classification
• Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory
• Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
• Splitting of surface defect partition functions and integrable systems
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• 6d $\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: part I
• Coulomb branches with complex singularities
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Matrix model from N = 2 orbifold partition function
• Holographic duals of M5-branes on an irregularly punctured sphere
• On AGT-W Conjecture and q-Deformed W-Algebra
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Schur sector of Argyres-Douglas theory and $W$-algebra
• Punctures for Theories of Class ${\mathcal{S}}_{\Gamma }$
• Quiver gauge theories and integrable lattice models
• Line defects and (framed) BPS quivers
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• An N=1 Lagrangian for an N=3 SCFT
• N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular Surfaces
• Chern-Simons Theory and S-duality
• S-Duality and Modular Transformation as a non-perturbative deformation of the ordinary pq-duality
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• $q$-Virasoro modular double and 3d partition functions
• Complex Chern-Simons from M5-branes on the Squashed Three-Sphere
• An N=1 Lagrangian for the rank 1 E6 superconformal theory
• On the chiral algebra of Argyres-Douglas theories and S-duality
• Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)
• W(1+infinity) algebra as a symmetry behind AGT relation
• Argyres-Douglas Theories in Class S Without Irregularity
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Half--Hypers and Quivers
• Compactification on the Ω-background and the AGT correspondence
• A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs
• Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties
• N=1 curves for trifundamentals
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Instantons from Blow-up
• Holography of Wrapped M5-branes and Chern-Simons theory
• BPS spectrum of Argyres-Douglas theory via spectral network
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra
• T-branes, monopoles and S-duality
• Flavored surface defects in 4d N=1 SCFTs
• Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
• From Liouville to Chern-Simons, Alternative Realization of Wilson Loop Operators in AGT Duality
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Supersymmetric index on T^2 x S^2 and elliptic genus
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Four dimensional superconformal theories from M5 branes
• The moduli space of vacua of N=2 class S theories
• Theories of Class F and Anomalies
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
• BPS/CFT correspondence V: BPZ and KZ equations from qq-characters
• M5-branes Probing Flux Backgrounds
• Betti multiplets, flows across dimensions and c-extremization
• A brief review of the 2d/4d correspondences
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• Needles in a haystack: An algorithmic approach to the classification of 4d $\mathcal{N}=2$ SCFTs
• Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
• Aspects of line operators of class S theories
• On 2d TQFTs whose values are holomorphic symplectic varieties
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours
• Class $\mathcal{S}$ Anomalies from M-theory Inflow
• N=2 SUSY gauge theories on S^4
• Curious patterns of IR symmetry enhancement
• Weakly coupled conformal manifolds in 4d
• Quasinormal Modes of C-metric from SCFTs
• Surface defects in gauge theory and KZ equation
• Geometry of Higgs-branch superconformal primary bundles
• Quantum geometry from the toroidal block
• The holography of non-invertible self-duality symmetries
• Higgs, Coulomb, and Hall-Littlewood
• S-duality in $\mathcal{N}=1$ orientifold SCFTs
• Schur Indices of Class $\mathcal{S}$ and Quasimodular Forms
• Lattice Gerbe Theory
• Higgs branch RG-flows via Decay and Fission
• Spectral Networks and Snakes
• Compactifications of 5d SCFTs with a twist
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• Surface defects as transfer matrices
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• $\mathcal{N}=2^{\ast }$ gauge theory, free fermions on the torus and Painlevé VI
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Minimal Distances Between SCFTs
• Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization
• $\mathcal{N}=1$ superconformal theories with $D_N$ blocks
• On Three-Dimensional Quiver Gauge Theories of Type B
• Moonshine in Fivebrane Spacetimes
• Mixed OPEs in $\mathcal{N}=2$ Superconformal Theories
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Probing 7-branes on Orbifolds
• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• Argyres-Douglas matter and N=2 dualities
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• Beyond Triality: Dual Quiver Gauge Theories and Little String Theories
• String Junctions and Holographic Interfaces
• Poisson vertex algebras in supersymmetric field theories
• Green-Schwarz Automorphisms and 6D SCFTs
• General instanton counting and 5d SCFT
• Defect (p,q) Five-branes
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Aspects of Irregular Punctures via Holography
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Network, Cluster coordinates and N=2 theory I
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Geometric engineering of (framed) BPS states
• Large N techniques for Nekrasov partition functions and AGT conjecture
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS_5 times S^1
• Surface defects, flavored modular differential equations and modularity
• Large $N$ and large representations of Schur line defect correlators
• Donaldson-Witten theory and indefinite theta functions
• Generalized Whittaker states for instanton counting with fundamental hypermultiplets
• A geometric recipe for twisted superpotentials
• Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs
• An $\mathcal{N}=1$ 3d-3d Correspondence
• On the six-dimensional origin of the AGT correspondence
• Triality in SU(2) Seiberg-Witten theory and Gauss hypergeometric function
• Argyres-Douglas matter and S-duality: Part II
• Homological Classification of 4d $\mathcal{N}=2$ QFT. Part I: Rank-1 revisited
• Topological AdS/CFT
• Singular points in N=2 SQCD
• 4d partition function on S^1 x S^3 and 2d Yang-Mills with nonzero area
• Modular and duality properties of surface operators in N=2* gauge theories
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• A review on SUSY gauge theories on $S^3$
• Surveying 4d SCFTs twisted on Riemann surfaces
• Charging the Superconformal Index
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• Accessory parameters for Liouville theory on the torus
• Network, cluster coordinates and N = 2 theory II: Irregular singularity
• A-branes, foliations and localization
• E-string Quantum Curve
• The global anomalies of (2,0) superconformal field theories in six dimensions
• Star shaped quivers with flux
• Dessins d'Enfants in $\mathcal{N}=2$ Generalised Quiver Theories
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Elliptic Virasoro Conformal Blocks
• (de)Tails of Toda CFT
• Supersymmetric Partition Functions and a String Theory in 4 Dimensions
• The Higgs branch of Heterotic ALE instantons
• Argyres-Douglas theories and Liouville Irregular States
• Wrapped Branes and Punctured Horizons
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Lessons from M2's and Hopes for M5's
• Non-integrability in AdS${}_3$ vacua
• 5d and 6d SCFTs Have No Weak Coupling Limit
• An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• The complex Liouville string: the worldsheet
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• E_8 orbits of IR dualities
• Flowing from 16 to 32 Supercharges
• BPS Hall Algebra of Scattering Hall States
• Exact results for boundaries and domain walls in 2d supersymmetric theories
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• S-duality, triangle groups and modular anomalies in N=2 SQCD
• The monodromy of T-folds and T-fects
• On the N=2 superconformal index and eigenfunctions of the elliptic RS model
• $Ad{S}_5$ black hole at N=2 supergravity
• The quiver approach to the BPS spectrum of a 4d N=2 gauge theory
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• 4d N=2 SCFT from Complete Intersection Singularity
• Dualities of Fields and Strings
• M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• Wilson Loops and Chiral Correlators on Squashed Spheres
• 2d small N=4 Long-multiplet superconformal block
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• $\mathcal{N}=1$ conformal duals of gauged $E_n$ MN models
• Non-perturbative studies of N=2 conformal quiver gauge theories
• A geometric free field realisation for the genus-two class $\mathcal{S}$ theory of type ${\mathfrak{a}}_1$
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• 't Hooft Defects and Wall Crossing in SQM
• Irregular conformal block, spectral curve and flow equations
• Compact Conformal Manifolds
• Star shaped quivers in four dimensions
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Wilson-'t Hooft lines as transfer matrices
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• The BPS Spectrum Generator In 2d-4d Systems
• Observations on BPS observables in 6d
• Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
• A note on Wilson-'t Hooft operators
• Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point
• Elliptic Quantum Curves of 6d SO(N) theories
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• Parametric dependence of irregular conformal block
• Instantons to the people: the power of one-form symmetries
• Challenges of beta-deformation
• OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$ Superconformal Field Theories
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Infinitely many N=1 dualities from $m+1-m=1$
• Superconformal index with surface defects for class ${\mathcal{S}}_k$
• Higher AGT Correspondences, W-algebras, and Higher Quantum Geometric Langlands Duality from M-Theory
• Strong positivity for the skein algebras of the $4$-punctured sphere and of the $1$-punctured torus
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Spin-2 excitations in Gaiotto-Maldacena solutions
• $T$, $Q$ and periods in $SU(3)$ $\mathcal{N}=2$ SYM
• Elliptic Quantum Curves of Class ${\mathcal{S}}_k$
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Infinitely many 4d N=1 SCFTs with a=c
• Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Elliptic modular double and 4d partition functions
• Pure N=2 Super Yang-Mills and Exact WKB
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• Geometry of Conformal Manifolds and the Inversion Formula
• Seiberg-Witten for $Spin(n)$ with Spinors
• $q$-nonabelianization for line defects
• Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings
• Infrared phases of 3D Class R theories
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Trinion Conformal Blocks from Topological strings
• Non minimal D-type conformal matter compactified on three punctured spheres
• Holographic Uniformization and Black Hole Attractors
• Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
• Topological vertex for Higgsed 5d $T_N$ theories
• Massive AdS Supergravitons and Holography
• Localization principle in SUSY gauge theories
• Impure Aspects of Supersymmetric Wilson Loops
• Conformal S-dualities from O-planes
• Chiral observables and S-duality in N = 2* U(N) gauge theories
• The Chiral Algebra of Genus Two Class $\mathcal{S}$ Theory
• Null Reductions of M5-Branes
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• A CFT Distance Conjecture
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Toward the Pole
• Testing Macdonald Index as a Refined Character of Chiral Algebra
• Coulomb Branches of Star-Shaped Quivers
• A freely generated ring for N=1 models in class S_k
• The ABCDEFG of Little Strings
• Four flavours, triality and bimodular forms
• OPE coefficients in Argyres-Douglas theories
• Modular anomaly equations and S-duality in N=2 conformal SQCD
• Gauge origami and quiver W-algebras
• Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• ADE Spectral Networks and Decoupling Limits of Surface Defects
• Off-shell structure of twisted (2,0) theory
• N = 2 SCFTs: An M5-brane perspective
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Tau-functions for Quiver Gauge Theories
• Crystal Melting, BPS Quivers and Plethystics
• Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
• Little String Origin of Surface Defects
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
• 5d SCFTs from Decoupling and Gluing
• Emergent N=4 supersymmetry from N=1
• Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks
• Spectral networks and Fenchel-Nielsen coordinates
• Confinement and duality in supersymmetric gauge theories
• Kutasov-like duality from D5-branes wrapping hyperbolic cycles
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Deconstructing Little Strings with $\mathcal{N}=1$ Gauge Theories on Ellipsoids
• S-foldings of 5d SCFTs
• Super-Yang-Mills theories on S4 x R
• 5D SYM on 3D Deformed Spheres
• Little String Defects and Bala-Carter Theory
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Gravity duals of N=(0,2) SCFTs from M5-branes
• Hitchin systems in N=2 field theory
• The trouble with twisting (2,0) theory
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• Line operators from M-branes on compact Riemann surfaces
• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• Orthosymplectic Quotient Quiver Subtraction
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• $t{t}^{\ast }$ Toda equations for surface defects in $\mathcal{N}=2$ SYM and instanton counting for classical Lie groups
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• Inozemtsev System as Seiberg-Witten Integrable system
• A Spectral Perspective on Neumann-Zagier
• No go for a flow
• Supersymmetry Algebra in Super Yang-Mills Theories
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• OPE of Wilson-'t Hooft operators in N=4 and N=2 SYM with gauge group G=PSU(3)
• An infrared bootstrap of the Schur index with surface defects
• (0,2) Dualities and the 4-Simplex
• Two-dimensional superconformal field theories from Riemann surfaces with boundary
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Index-Like Theorems from Line Defect Vevs
• di-Langlands correspondence and extended observables
• Higher rank Wilson loops in the $\mathcal{N}=2$ $SU(N)\times SU(N)$ conformal quiver
• Macdonald Indices for Four-dimensional $\mathcal{N}=3$ Theories
• Hyperbolic deformation of the strip-equation and the accessory parameters for the torus
• S-duality wall of SQCD from Toda braiding
• N=2 supersymmetric QCD and elliptic potentials
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• Entanglement in Theory Space
• Twisted Inflation
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Geometric Approach to 3D Interfaces at Strong Coupling
• Peculiar Index Relations, 2D TQFT, and Universality of SUSY Enhancement
• Seiberg-Witten differential via primitive forms
• Masses, Sheets and Rigid SCFTs
• Comments on chiral algebras and $\Omega$-deformations
• 3d mirror for Argyres-Douglas theories
• Describing codimension two defects
• The $u$-plane integral, mock modularity and enumerative geometry
• A note on 4d N = 3 from little string theory
• Gauge interactions and topological phases of matter
• Representation theory of W-algebras and Higgs branch conjecture
• Large R-charge EFT correlators in N=2 SQCD
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• Irregular Singularities in the H3+ WZW Model
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• About the Absence of Exotics and the Coulomb Branch Formula
• Conformal field theories and compact curves in moduli spaces
• Quantum spectral curve for (q,t)-matrix model
• Beyond LLM in M-theory
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• Hecke Groups, Dessins d'Enfants and the Archimedean Solids
• Givental J-functions, Quantum integrable systems, AGT relation with surface operator
• Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
• Bispectral duality and separation of variables from surface defect transition
• FQHE and $t{t}^{\ast }$ geometry
• Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
• More on the SW-QNM correspondence
• Permutations of Massive Vacua
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Calabi-Yau completions and orbifold equivalences
• Note on refined topological vertex, Jack polynomials and instanton counting
• Surface Defects from Fractional Branes -- I
• Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Four-dimensional N=2 Field Theory and Physical Mathematics
• Highest Weight Generating functions for hyperKahler T*(G/H) spaces
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Topological AdS/CFT and the $\Omega$ deformation
• On low rank 4d $\mathcal{N}=2$ SCFTs
• Wilson punctured network defects in 2D q-deformed Yang-Mills theory
• Surface Defects from Fractional Branes -- II
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry
• Punctures and Dynamical Systems
• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• Isomorphisms of 4d N=2 SCFTs from 6d
• Distinquishing 4d N=2 SCFTs
• Is There Scale Invariance in N=1 Supersymmetric Field Theories ?
• Higher-dimensional field theories from type II supergravity
• Confinement as Analytic Continuation Beyond Infinity
• Disconnected gauge groups in the infrared
• A Family of Vertex Algebras from Argyres-Douglas Theory
• A Nonabelian $(1,0)$ Tensor Multiplet Theory in 6D
• Semicontinuity of 4d N=2 spectrum under renormalization group flow
• Bootstrapping ADE M-strings
• 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
• The Geometry of Decoupling Fields
• Semi-infinite cohomology and the linkage principle for $W$-algebras
• Towards Deconstruction of the Type D (2,0) Theory
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Compactifying 5d superconformal field theories to 3d
• Flavor symmetries and the topology of special Kähler structures at rank 1
• Geometric transitions, double scaling limits and gauge theories
• The Geometry of SUSY Enhancement
• A Note on Wilson Loop in N=2 Quiver/M theory Gravity Duality
• Rank $Q$ E-String on Spheres with Flux
• On 'categories' of quantum field theories
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Dynamical Supersymmetry Breaking with T_N Theory
• Integrability As Duality: The Gauge/YBE Correspondence
• Superconformal Partial Waves for Stress-tensor Multiplet Correlator in $4D$ $\mathcal{N}=2$ SCFTs
• Quiver Polymerisation
• Branes and DAHA Representations
• $\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality
• 2d dualities from 4d
• 4d $\mathcal{N}=1$/2d Yang-Mills Duality in Holography
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• $\mathcal{N}=2$ SCFT with minimal flavor central charge
• Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds
• Intersecting Surface defects and 3d Superconformal indices
• Lens space index and global properties for 4d N = 2 models
• The constraining power of Coulomb Branch Geometry: lectures on Seiberg-Witten theory
• Generalized Toda Theory from Six Dimensions and the Conifold
• Chiral expansion and Macdonald deformation of two-dimensional Yang-Mills theory
• 1-form Symmetries of 4d N=2 Class S Theories
• The Euler anomaly and scale factors in Liouville/Toda CFTs
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• Holographic duality and applications
• The colored Jones polynomials as vortex partition functions
• Infinite Linear Quivers and Continuous Rank Functions
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Product SCFTs for the $E_7$ Theory
• Topological charges in 2d N=(2,2) theories and massive BPS states
• Recent Progress in AdS/CFT
• Vortex-strings in N=2 quiver X U(1) theories
• B-brane transport in anomalous (2,2) models and localization
• A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories
• On resummation of the irregular conformal block
• Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus
• The Grassmannian VOA
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Quantum Analytic Langlands Correspondence
• Singular SQCD Vacua and Confinement
• A note on chiral trace relations from qq-characters
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories
• The braneology of 3D dualities
• M5-brane prongs, string soliton bound states and wall-crossing
• Semiclassical Entropy of BPS States in 4d $\mathcal{N}=2$ Theories and Counts of Geodesics
• String Theory and Math: Why This Marriage May Last
• A study of N =1 SCFT derived from N =2 SCFT: index and chiral ring
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories
• Quantum Trilogy: Discrete Toda, Y-System and Chaos
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Theories of Class S and New N=1 SCFTs
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• Supersymmetric zeta functions and determinants
• A plethora of K3 metrics
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Electric-magnetic Duality of Abelian Gauge Theory on the Four-torus, from the Fivebrane on T2 x T4, via their Partition Functions
• A note on W symmetry of N=2 gauge theory
• Families of Hitchin systems and N=2 theories
• Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($0+1$)d
• A landscape of 4d N=1 SCFTs with a=c
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists
• Defect Networks and Supersymmetric Loop Operators
• BPS spectra from BPS graphs
• Codimension two defects and the Springer correspondence
• BPS Z(2) monopoles and N=2 SU(n) superconformal field theories on the Higgs branch
• The Statistics of Vacuum Geometry
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Non-Abelian gauge theories invariant under diffeomorphisms
• Non-Abelian two-form gauge transformation and gauge theories in six dimensions
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D
• The Hitchin Image in Type-D
• Aspects of 4d supersymmetric dynamics and geometry
• Modular properties of surface operators in N=2 SQCD
• Schur Connections: Chord Counting, Line Operators, and Indices
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities
• Superconformal blocks for stress-tensor and chiral operators for 4D $\mathcal{N}=2$ superconformal field theories
• Global variants of $\mathcal{N}=1^{\ast }$ theories and Calogero-Moser systems
• The quantum UV-IR map for line defects in $\mathfrak{gl}(3)$-type class $S$ theories
• Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence
• Entanglement and Excitations in Gauge/Gravity Duality
• Soft supersymmetry breaking of 4d $\mathcal{N}=2$ SCFT
• Vanishing short multiplets in rank one 4d/5d SCFTs
• 't Hooft surface operators in five dimensions and elliptic Ruijsenaars operators
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• On the classification of planar rank-1 d=4 N=2 superconformal field theories
• S-duality and loop operators in canonical formalism
• Singularity Structure of N=2 Supersymmetric Yang-Mills Theories: A Review
• Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case