S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory

Abstract

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the process, we find that S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and we analyze the IR behavior of large classes of quiver gauge theories.

170 pp

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Notes on Superconformal Chern-Simons-Matter Theories
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Interface Yang-Mills, Supersymmetry, and Janus
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
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Cited by in corpus (516)

• N=2 dualities
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Non-Invertible Duality Defects in 3+1 Dimensions
• Orbifold groupoids
• Topological boundary conditions in abelian Chern-Simons theory
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Mirrors of 3d Sicilian theories
• Bootstrapping the superconformal index with surface defects
• Information radiation in BCFT models of black holes
• Darboux coordinates, Yang-Yang functional, and gauge theory
• Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• Comments on twisted indices in 3d supersymmetric gauge theories
• Holographic Duals of D=3 N=4 Superconformal Field Theories
• Holography for (1,0) theories in six dimensions
• Defects and Quantum Seiberg-Witten Geometry
• Supersymmetry enhancement by monopole operators
• Tinkertoys for the D_N series
• Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
• Walls, Lines, and Spectral Dualities in 3d Gauge Theories
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• On Three Dimensional Quiver Gauge Theories and Integrability
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Non-invertible Time-reversal Symmetry
• Down the rabbit hole with theories of class S
• Spin-2 spectrum of defect theories
• Dual Boundary Conditions in 3d SCFT's
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Lagrangians for generalized Argyres-Douglas theories
• Coulomb Branch and The Moduli Space of Instantons
• Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
• Tinkertoys for the Twisted D-Series
• Exceptional Indices
• Branes And Supergroups
• Domain Walls for Two-Dimensional Renormalization Group Flows
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Islands and Page curves in 4d from Type IIB
• On Holographic Defect Entropy
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Infrared Computations of Defect Schur Indices
• Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics
• Supersymmetric Janus Solutions in Four Dimensions
• Near-horizon solutions for D3-branes ending on 5-branes
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
• Braids, Walls, and Mirrors
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Quiver Subtractions
• 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
• SUSY monopole potentials in 2+1 dimensions
• Vertex Operator Algebras and 3d N=4 gauge theories
• T^σ_ρ(G) Theories and Their Hilbert Series
• Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter
• 4d N=2 superconformal linear quivers with type IIA duals
• Membranes with a boundary
• Line and surface defects for the free scalar field
• Central charges and RG flow of strongly-coupled N=2 theory
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• Three-sphere free energy for classical gauge groups
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Factorisation and holomorphic blocks in 4d
• D-type Conformal Matter and SU/USp Quivers
• Quiver Tails and N=1 SCFTs from M5-branes
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• Branes and the Kraft-Procesi Transition
• Type II origin of dyonic gaugings
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• 3-Manifolds and 3d Indices
• Webs of W-algebras
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• A New Proposal for Holographic BCFT
• Holographic duals of 3d S-fold CFTs
• 1/4 BPS AdS${}_3$/CFT${}_2$
• IIB Duals of D=3 N=4 Circular Quivers
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
• The matrix model version of AGT conjecture and CIV-DV prepotential
• (5d RG-flow) Trees in the Tropical Rain Forest
• tt* Geometry in 3 and 4 Dimensions
• Rank $Q$ E-string on a torus with flux
• M5 brane and four dimensional N=1 theories I
• On New Proposal for Holographic BCFT
• Half-BPS supergravity solutions and superalgebras
• M2-branes and AdS/CFT
• Magnetic Quivers from Brane Webs with O5 Planes
• Localization on three-dimensional manifolds
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• New aspects of Argyres--Douglas theories and their dimensional reduction
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Mass-deformed $T_N$ as a linear quiver
• Multi-charge accelerating black holes and spinning spindles
• A review of the T_N theory and its cousins
• On Irregular Singularity Wave Functions and Superconformal Indices
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• N=1 dynamics with T_N theory
• 3d Abelian Gauge Theories at the Boundary
• Argyres-Douglas Theories and S-Duality
• On RG Flow of tau_{RR} for Supersymmetric Field Theories in Three-Dimensions
• Cosmology from confinement?
• Bootstrapping boundary-localized interactions
• Three-dimensional gauge theories with supersymmetry enhancement
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• N=2 S-duality Revisited
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• The Superconformal Index of the (2,0) Theory with Defects
• Matrix Models for Supersymmetric Chern-Simons Theories with an ADE Classification
• Branes and the Kraft-Procesi transition: classical case
• Confinement in Anti-de Sitter Space
• Invertible defects and isomorphisms of rational CFTs
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Anomalous Symmetries End at the Boundary
• Chern-Simons-Rozansky-Witten topological field theory
• Holographic duals of Boundary CFTs
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Holographic Interfaces in N=4 SYM: Janus and J-folds
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Brane Webs and Magnetic Quivers for SQCD
• Bootstrapping line defects with $O(2)$ global symmetry
• Redeeming Bad Theories
• Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories
• Holographic Interface-Particle Potential
• Quantum Gates to other Universes
• Topological duality twist and brane instantons in F-theory
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• The Coulomb Branch of 3d $\mathcal{N}=4$ Theories
• Duality walls and defects in 5d N=1 theories
• Aspects of Defects in 3d-3d Correspondence
• Expectation values of chiral primary operators in holographic interface CFT
• More Three Dimensional Mirror Pairs
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• The Infrared Physics of Bad Theories
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• The superconformal index and an elliptic algebra of surface defects
• From 3d dualities to 2d free field correlators and back
• Electrostatic Description of Five-dimensional SCFTs
• Quantum Higgs branches of isolated N=2 superconformal field theories
• Mirror symmetry and line operators
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Small instanton transitions for M5 fractions
• Janus and J-fold Solutions from Sasaki-Einstein Manifolds
• Gauge Theories Labelled by Three-Manifolds
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Topological pseudo entropy
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Magnetic Lattices for Orthosymplectic Quivers
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• A slow review of the AGT correspondence
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Looking for (and not finding) a bulk brane
• Holographic Evidence for Non-Supersymmetric Conformal Manifolds
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Quiver Theories and Formulae for Nilpotent Orbits of Exceptional Algebras
• $\mathcal{W}$-algebra Modules, Free Fields, and Gukov-Witten Defects
• Interacting systems and wormholes
• Janus and Multifaced Supersymmetric Theories
• Anomalies of Generalized Symmetries from Solitonic Defects
• Superconformal Index with Duality Domain Wall
• The Spectrum of Boundary States in Symmetric Orbifolds
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions
• Magnetic quivers for rank 2 theories
• Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• Hasse Diagrams for $3d$ $\mathcal{N}=4$ Quiver Gauge Theories -- Inversion and the full Moduli Space
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• 3d-3d Correspondence Revisited
• A Crack in the Conformal Window
• Boundaries, Vermas, and Factorisation
• Fractional $S$-duality, Classification of Fractional Topological Insulators and Surface Topological Order
• Folding Orthosymplectic Quivers
• 3d Mirror Symmetry and Elliptic Stable Envelopes
• Janus and Multifaced Supersymmetric Theories II
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Toda Theory From Six Dimensions
• Quantum vortices, M2-branes and black holes
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Twisted M2 brane holography and sphere correlation functions
• Teichmuller TQFT vs Chern-Simons Theory
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Rational $Q$-systems, Higgsing and Mirror Symmetry
• Quiver origami: discrete gauging and folding
• Supersymmetric Indices of 3d S-fold SCFTs
• Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
• Integrable domain walls in ABJM theory
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• Discrete Gauging in Coulomb branches of Three Dimensional $\mathcal{N}=4$ Supersymmetric Gauge Theories
• The Infrared Fixed Points of 3d $\mathcal{N}=4$ $USp(2N)$ SQCD Theories
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Higgs Branches of U/SU Quivers via Brane Locking
• Sphere correlation functions and Verma modules
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• $\mathcal{N}=2$ supersymmetric S-folds
• S-Dual of Maxwell Chern-Simons Theory
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics
• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• (2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes
• Geometric Langlands And The Equations Of Nahm And Bogomolny
• Twisted Indices of 3d $\mathcal{N}=4$ Gauge Theories and Enumerative Geometry of Quasi-Maps
• The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs
• Chern-Simons Theory and S-duality
• Gauge Theory and Langlands Duality
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Coulomb branches for rank 2 gauge groups in 3d N=4 gauge theories
• $q$-Virasoro modular double and 3d partition functions
• Superconformal Models for Graphene and Boundary Central Charges
• Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)
• Fractons and exotic symmetries from branes
• 3d $\mathcal{N}=4$ Gauge Theories on an Elliptic Curve
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Fermionization of conformal boundary states
• The Hasse Diagram of the Moduli Space of Instantons
• Compactification on the Ω-background and the AGT correspondence
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part II: Brane Constructions and 3d N=2 Field Theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Mapping out the internal space in AdS/BCFT with Wilson loops
• 3d mirror symmetry as a canonical transformation
• Magnetic quivers and negatively charged branes
• Smallest 3d hyperbolic manifolds via simple 3d theories
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• T-branes, monopoles and S-duality
• S-folds and (non-)supersymmetric Janus solutions
• The moduli spaces of S-fold CFTs
• On 2d TQFTs whose values are holomorphic symplectic varieties
• The moduli space of vacua of N=2 class S theories
• Coulomb Branch Global Symmetry and Quiver Addition
• Quiver Theories and Hilbert Series of Classical Slodowy Intersections
• Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
• Finding $Ad{S}^5\times S^5$ in 2+1 dimensional SCFT physics
• Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices
• A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours
• Mirror theories of 3d $\mathcal{N}=2$ SQCD
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Dualities of Corner Configurations and Supersymmetric Indices
• Higgs, Coulomb, and Hall-Littlewood
• Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers
• 3d Mirror Symmetry from S-duality
• Decay and Fission of Magnetic Quivers
• Argyres-Douglas matter and N=2 dualities
• Rethinking mirror symmetry as a local duality on fields
• Dualities from dualities: the sequential deconfinement technique
• Janus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula
• Probing 7-branes on Orbifolds
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Tests of Seiberg-like Duality in Three Dimensions
• Quiver Theories and Formulae for Slodowy Slices of Classical Algebras
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• Three Dimensional Mirror Symmetry and Partition Function on $S^3$
• Holographic calculation of entanglement entropy in the presence of boundaries
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Ungauging Schemes and Coulomb Branches of Non-simply Laced Quiver Theories
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• N=2 Moduli of AdS4 vacua: A fine-print study
• Vertex Algebras at the Corner
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS_5 times S^1
• Mirror Symmetry in Three Dimensions via Gauged Linear Quivers
• Theory of oblique topological insulators
• Vortices and 3 dimensional dualities
• Good IR Duals of Bad Quiver Theories
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Refined 3d-3d Correspondence
• On the six-dimensional origin of the AGT correspondence
• A review on SUSY gauge theories on $S^3$
• Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
• Nilpotent orbits and the Coulomb branch of $T^{\sigma }(G)$ theories: special orthogonal vs orthogonal gauge group factors
• AGT/Z${}_2$
• Supersymmetric Rényi Entropy and Defect Operators
• Variations on S-fold CFTs
• A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Dualities and flavored indices of M2-brane SCFTs
• Relations between supersymmetric structures in UV and IR for $\mathcal{N}=4$ bad theories
• Conformal Janus on Euclidean Sphere
• (de)Tails of Toda CFT
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• The Higgs branch of Heterotic ALE instantons
• Star shaped quivers with flux
• On Monopole Bubbling Contributions to 't Hooft Loops
• Symmetry enhancement and duality walls in 5d gauge theories
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Orthosymplectic Implosions
• Factorisation of 3d $\mathcal{N}=4$ Twisted Indices and the Geometry of Vortex Moduli Space
• Algebraic properties of the monopole formula
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• 3d Mirror Symmetry and Quantum $K$-theory of Hypertoric Varieties
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Exploring the orthosymplectic zoo
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Exact results for boundaries and domain walls in 2d supersymmetric theories
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Analytic Torsion, 3d Mirror Symmetry And Supergroup Chern-Simons Theories
• Construction and Deconstruction of Single Instanton Hilbert Series
• Taming Supersymmetric Defects in 3d-3d Correspondence
• One-Dimensional Sectors From the Squashed Three-Sphere
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• Topologically twisted index of $T[SU(N)]$ at large $N$
• 4d N=2 SCFT from Complete Intersection Singularity
• 3d N=4 Bootstrap and Mirror Symmetry
• Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Index and duality of minimal N=4 Chern-Simons-matter theories
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Black hole microstates and supersymmetric localization
• A new vista on the Heterotic Moduli Space from Six and Three Dimensions
• Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface
• On complete solution of the quantum Dell system
• A one-dimensional theory for Higgs branch operators
• Dualities in quantum integrable many-body systems and integrable probabilities -- I
• On Supersymmetry, Boundary Actions and Brane Charges
• Wilson loops for 5d and 3d conformal linear quivers
• 3d Mirror Symmetry for Instanton Moduli Spaces
• Ring Relations and Mirror Map from Branes
• Giant graviton expansions and ETW brane
• Massive AdS Supergravitons and Holography
• Minimally Unbalanced Quivers
• Boundary SymTFT
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Janus and RG-flow interfaces in three-dimensional gauged supergravity
• Examples of global symmetry enhancement by monopole operators
• Fermi gas approach to general rank theories and quantum curves
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional N=4 theories
• Hilbert series and mixed branches of $T[SU(N)]$ theory
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Correlators on the wall and ${\mathfrak{sl}}_n$ spin chain
• 6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories
• Static Charges in the Low-Energy Theory of the S-Duality Twist
• Localization principle in SUSY gauge theories
• Characters of tangent spaces at torus fixed points and $3d$-mirror symmetry
• Marginal Deformations of 3d N=4 Linear Quiver Theories
• Supersymmetric probes in warped $Ad{S}_6$
• A note on $\mathcal{N}\ge 6$ Superconformal Quantum Field Theories in three dimensions
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Note on Generalized Janus Configurations
• Linear Quivers at Large-$N$
• Comments on Global Symmetries and Anomalies of $5d$ SCFTs
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Coulomb Branches of Star-Shaped Quivers
• Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories
• A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
• Kazama-Suzuki models and BPS domain wall junctions in N=1 SU(n) Super Yang-Mills
• Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
• Little String Origin of Surface Defects
• Bow varieties---geometry, combinatorics, characteristic classes
• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• Monopoles and dualities in $3d$ $\mathcal{N}=2$ quivers
• M2-branes and plane partitions
• BPS states in the Omega-background and torus knots
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• Selfduality and Chern-Simons Theory
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• Homological methods in semi-infinite contexts
• Orthosymplectic Quotient Quiver Subtraction
• Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• Nonabelian Mirror Symmetry Beyond the Chiral Ring
• Mirabolic Satake equivalence and supergroups
• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Holographic Josephson Junctions and Berry holonomy from D-branes
• Surface Operators in Abelian Gauge Theory
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Two-dimensional superconformal field theories from Riemann surfaces with boundary
• Quotient Quiver Subtraction
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Symmetry fractionalization and duality defects in Maxwell theory
• S-duality wall of SQCD from Toda braiding
• Conformal boundary conditions for a 4d scalar field
• Free field realisation of boundary vertex algebras for Abelian gauge theories in three dimensions
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• Orbifold ETW brane and half-indices
• Actions on the quiver -- Discrete quotients on the Coulomb branch
• Masses, Sheets and Rigid SCFTs
• 3d mirror for Argyres-Douglas theories
• Deconstructing Defects
• A string theory realization of special unitary quivers in 3 dimensions
• Peculiar Index Relations, 2D TQFT, and Universality of SUSY Enhancement
• Describing codimension two defects
• Nilpotent orbit Coulomb branches of types AD
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• 3d exceptional gauge theories and boundary confinement
• Isomorphisms of 4d N=2 SCFTs from 6d
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry
• Highest Weight Generating functions for hyperKahler T*(G/H) spaces
• Higher-dimensional field theories from type II supergravity
• Moduli space singularities for $3d$ $\mathcal{N}=4$ circular quiver gauge theories
• Baby Universes born from the Void
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Affine $\mathcal{W}$-algebras and Miura maps from 3d $\mathcal{N}=4$ non-Abelian quiver gauge theories
• Atomic Higgsings of 6D SCFTs
• Surface defects and instanton partition functions
• Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• Complex Symplectic Contractions and 3d Mirrors
• Branes, Quivers, and the Affine Grassmannian
• Asymptotic degeneracies of M2-brane SCFTs
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• Quantized Coulomb Branches, Monopole Bubbling and Wall-Crossing Phenomena in 3d $\mathcal{N}=4$ Theories
• The Geometry of SUSY Enhancement
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Wilson loops and free energies in $3d$ $\mathcal{N}=4$ SYM: exact results, exponential asymptotics and duality
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• Towards Deconstruction of the Type D (2,0) Theory
• Some Open Questions in Quiver Gauge Theory
• $D_n$ Dynkin quiver moduli spaces
• The Zoo of Opers and Dualities
• Topological defects as lagrangian correspondences
• On ${\mathrm{SQED}}_3$ and ${\mathrm{SQCD}}_3$: phase transitions and integrability
• Holographic CFTs on $Ad{S}_d\times S^n$ and conformal defects
• 3d dualities with decoupled sectors and brane transitions
• Crystal bases and three-dimensional $\mathcal{N}=4$ Coulomb branches
• Holographic Duality for three-dimensional Super-conformal Field Theories
• Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations
• Construction of 4d SYM compactified on open Riemann surfaces by the superfield formalism
• Rank $Q$ E-String on Spheres with Flux
• AdS Asymptotic Symmetries from CFT Mirrors
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Four-Dimensional N=2 Supersymmetric Theory with Boundary as a Two-Dimensional Complex Toda Theory
• 3d N=4 Super-Yang-Mills on a Lattice
• Abelian dualities and line defect indices for 3d gauge theories
• The Hilbert series of 3d N=2 Yang-Mills theories with vectorlike matter
• Quiver Polymerisation
• Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models
• Poisson Brackets for some Coulomb Branches
• Dynamics of $\mathcal{N}=4$ supersymmetric field theories in 2+1 dimensions and their gravity dual
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums
• Non-Perturbative Schwinger-Dyson Equations for 3d $\mathcal{N}=4$ Gauge Theories
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$
• Knot Categorification from Mirror Symmetry, Part II: Lagrangians
• Holomorphic boundary conditions for topological field theories via branes in twisted supergravity
• Mirror Symmetry And Loop Operators
• Q-balls of Quasi-particles in a (2,0)-theory model of the Fractional Quantum Hall Effect
• Line Operators in 4d Chern-Simons Theory and Cherkis Bows
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• $\mathcal{N}=4$ line defect correlators of type BCD
• More on 't Hooft loops in N=4 SYM
• Holographic BCFT Spectra from Brane Mergers
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Infinite Linear Quivers and Continuous Rank Functions
• S-duality transformation of $\mathcal{N}$ $=4$ SYM theory at the operator level
• One-point functions for doubly-holographic BCFTs and backreacting defects
• Instantons on Calabi-Yau and hyper-Kähler cones
• Magnetic quivers from brane webs with O7${}^{+}$-planes
• Boundary Conformal Field Theory at Large Charge
• Stability and boundedness in AdS/CFT with double trace deformations II: Vector Fields
• Linear Chern-Simons-matter Theories in the Planar Limit
• Phases of $\mathcal{N}=4$ SYM, S-duality and Nilpotent Cones
• On the Magnetic Current Density in the Maxwell Equations Based on the Noether Theorem
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Factorization of the 3d superconformal index with an adjoint matter
• Families of Hitchin systems and N=2 theories
• Instantons and Bows for the Classical Groups
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• Codimension two defects and the Springer correspondence
• String Theory and Math: Why This Marriage May Last
• Virtual Coulomb branch and vertex functions
• Factorized class $S$ theories and surface defects
• Domain walls and M2-branes partition functions: M-theory and ABJM Theory
• Comments on s-rule violating configurations in field theory
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Conformal Bootstrap with Duality-Inspired Fusion Rule
• QFT Realization of Non-Unitary $\mathfrak{sl}(2,\mathbb{C})$ WRT Invariants and Their Galois Conjugations
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D
• Quarter-indices for basic ortho-symplectic corners
• Breaking Free from the Swampland of Impossible Universes through the DESI Portal
• Multiplicative Higgs bundles and involutions
• Hyperspherical equivariant slices and basic classical Lie superalgebras
• FI-flows of 3d N=4 Theories
• S-duality and loop operators in canonical formalism
• Double holography in string theory
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• From braids to transverse slices in reductive groups
• The AdS/CFT Correspondence and Symmetry Breaking
• SUSY localization for Coulomb branch operators in omega-deformed 3d N=4 gauge theories
• Classical Monopole Solutions to $\mathcal{N}=3$ Chern-Simons-Yang-Mills Theories
• Mixed moduli in 3d N=4 higher-genus quivers
• HWG for Coulomb branch of $3d$ Sicilian theory mirrors