Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

Abstract

We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators in the N=4 supersymmetric Yang-Mills theory with a Gaussian matrix model. We also compute the partition function and give a new matrix model formula for the expectation value of a supersymmetric circular Wilson loop operator for the pure N=2 and the N=2* supersymmetric Yang-Mills theory on a four-sphere. A four-dimensional N=2 superconformal gauge theory is treated similarly.

63 pages, 1 figure; v2: correction of mass parameter; v3: typos corrected

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• Localization on round sphere revisited
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Squashing and supersymmetry enhancement in three dimensions
• Superfield theories on $S^3$ and their localization
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Instanton counting and O-vertex
• Mirror Symmetry in Three Dimensions via Gauged Linear Quivers
• Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills
• Picard-Lefschetz decomposition and Cheshire Cat resurgence in 3D $\mathcal{N}=2$ field theories
• Donaldson-Witten theory and indefinite theta functions
• Comments on knotted 1/2 BPS Wilson loops
• Surface defects, flavored modular differential equations and modularity
• Interpolating Wilson loops and enriched RG flows
• Supersymmetric indices on $I\times T^2$, elliptic genera and dualities with boundaries
• Supersymmetric Rényi Entropy and Defect Operators
• Analytic continuation of dimensions in supersymmetric localization
• AGT/Z${}_2$
• Topological AdS/CFT
• Transversally Elliptic Complex and Cohomological Field Theory
• ABJ Wilson loops and Seiberg Duality
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Maximally Supersymmetric RG Flows in 4D and Integrability
• A geometric recipe for twisted superpotentials
• The planar limit of $\mathcal{N}=2$ chiral correlators
• Localization on $Ad{S}_2\times S^1$
• Smooth Wilson Loops in N=4 Non-Chiral Superspace
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• How a-type anomalies can depend on marginal couplings
• An $\mathcal{N}=1$ 3d-3d Correspondence
• Rigid Supersymmetry from Conformal Supergravity in Five Dimensions
• Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
• Entanglement entropy of $\mathcal{N}=2^{\ast }$ de Sitter vacuum
• Conformal Janus on Euclidean Sphere
• Indices for 6 dimensional superconformal field theories
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Toward Precision Holography in Type IIA with Wilson Loops
• Background field method in the gradient flow
• On the transverse M5-branes in matrix theory
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• From the planar limit to M-theory
• One-loop tests of supersymmetric gauge theories on spheres
• Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• A quantum mechanics for magnetic horizons
• Supersymmetric D3/D7 for holographic flavors on curved space
• Quantum String Test of Nonconformal Holography
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• New Supersymmetric Localizations from Topological Gravity
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• ABJ Quadrality
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
• On Higgs Branch Localization of Seiberg-Witten Theories on Ellipsoid
• Large $N$ expansion of an integrated correlator in $\mathcal{N}=4$ SYM
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• Hanany-Witten Transition in Quantum Curves
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• Localizing gauge theories on $S^d$
• Quantum Phases of $4d$ $SU(N)$ $\mathcal{N}=4$ SYM
• Quantum phase transition in many-flavor supersymmetric QED${}_3$
• Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
• 7D supersymmetric Yang-Mills on curved manifolds
• Probing Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories at weak coupling
• Duality and Transport for Supersymmetric Graphene from the Hemisphere Partition Function
• Type-B Anomaly Matching and the 6D (2,0) Theory
• Massive flows in AdS${}_6$/CFT${}_5$
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• An Index for Ray Operators in 5d $E_n$ SCFTs
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• One-Dimensional Sectors From the Squashed Three-Sphere
• (Mis-)Matching Type-B Anomalies on the Higgs Branch
• 3d N=4 Bootstrap and Mirror Symmetry
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Supersymmetric localization of refined chiral multiplets on topologically twisted $H^2\times S^1$
• 't Hooft Defects and Wall Crossing in SQM
• Boundary Conditions and Localization on AdS: Part 1
• Checks of integrality properties in topological strings
• Factorising the 3D Topologically Twisted Index
• A note on multiply wound BPS Wilson loops in ABJM
• Wilson Loops and Chiral Correlators on Squashed Spheres
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Gravity duals of supersymmetric gauge theories on three-manifolds
• Exact results in N=2 gauge theories
• SYM on Quotients of Spheres and Complex Projective Spaces
• Observations on BPS observables in 6d
• A new look at instantons and large-N limit
• Generalized Giveon-Kutasov duality
• Quantum Hydrodynamics from Large-n Supersymmetric Gauge Theories
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• A proposal for (0,2) mirrors of toric varieties
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Localization and Duality for ABJM Latitude Wilson Loops
• Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons
• Superconformal index on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ and mirror symmetry
• More on Homological Supersymmetric Quantum Mechanics
• Symmetric Wilson Loops beyond leading order
• A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Supersymmetric vortex loops in 3D gauge theories
• Deformations of the circular Wilson loop and spectral (in)dependence
• On consistent truncations in $\mathcal{N}=2^{\ast }$ holography
• Dyson equations for correlators of Wilson loops
• Exact results for ABJ Wilson loops and open-closed duality
• Supersymmetry anomalies in new minimal supergravity
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• Orbifolds, Defects and Sphere Partition Function
• Supersymmetric Wilson loops with general contours in ABJM theory
• A defect action for Wilson loops
• The Geometry of Gauged Linear Sigma Model Correlation Functions
• Matrix models for 5d super Yang-Mills
• Localization and holography in N=2 gauge theories
• Elliptic modular double and 4d partition functions
• Dualities in quantum integrable many-body systems and integrable probabilities -- I
• The planar limit of integrated 4-point functions
• 1/3 BPS loops and defect CFTs in ABJM theory
• Torsion and Supersymmetry in Omega-background
• Localization principle in SUSY gauge theories
• Wilson loops and defect RG flows in ABJM
• Bootstrapping the $S^5$ partition function
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Rigid Supersymmetric Backgrounds of 3-dimensional Newton-Cartan Supergravity
• Equivariant Batalin-Vilkovisky formalism
• Impure Aspects of Supersymmetric Wilson Loops
• Two-Point Functions in ABJM Matrix Model
• Torus knot polynomials and susy Wilson loops
• Ladder Limit for Correlators of Wilson Loops
• Killing superalgebras for Lorentzian six-manifolds
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Vortex-Strings in N=2 SQCD and Bulk-String Decoupling
• Free Energy on the Sphere for Non-Abelian Gauge Theories
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Linear Quivers at Large-$N$
• 5d gauge theories on orbifolds and 4d 't Hooft line indices
• Gauge origami and quiver W-algebras
• OPE coefficients in Argyres-Douglas theories
• Gromov-Witten invariants and localization
• Multi-cut Solutions in Chern-Simons Matrix Models
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Partition Functions and Fibering Operators on the Coulomb Branch of 5d SCFTs
• Coulomb Branches of Star-Shaped Quivers
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Green-Schwarz superstring on the lattice
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• A CFT Distance Conjecture
• Gauge theories on compact toric manifolds
• Boundary conditions and localization on AdS: Part 2 General analysis
• Exact SUSY Wilson loops on $S^3$ from $q$-Virasoro constraints
• Integrating over quiver variety and BPS/CFT correspondence
• Spherical transverse M5-branes from the plane wave matrix model
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Emitted Radiation and Geometry
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• Quantum consistency in supersymmetric theories with $R$-symmetry in curved space
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• Exact WKB Analysis of ${\mathbb{CP}}^1$ Holomorphic Blocks
• Holographic entanglement entropy of surface defects
• Super-Yang-Mills theories on S4 x R
• Resumming perturbative series in the presence of monopole bubbling effects
• AGT relation in the light asymptotic limit
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• A novel cross-check of localization and non conformal holography
• Deconstructing Little Strings with $\mathcal{N}=1$ Gauge Theories on Ellipsoids
• Super Yang-Mills on Branched Covers and Weighted Projective Spaces
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
• Supersymmetric Field Theories on AdS_p x S^q
• Partition Function of $N=2$ Gauge Theories on a Squashed $S^4$ with $SU(2)\times U(1)$ Isometry
• Chern-Simons perturbative series revisited
• Entanglement entropy of Wilson loops: Holography and matrix models
• Cusped Wilson lines in symmetric representations
• Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories
• Integral pentagon relations for 3d superconformal indices
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• M2-doughnuts
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Localization and Non-Renormalization in Chern-Simons Theory
• Solving Mass-deformed Holography Perturbatively
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Conformal field theories on deformed spheres, anomalies, and supersymmetry
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Minimal area surfaces in AdS_{n+1} and Wilson loops
• ABJ Theory in the Higher Spin Limit
• Functional determinants, index theorems, and exact quantum black hole entropy
• Rotating Wilson loops and open strings in AdS3
• S-duality wall of SQCD from Toda braiding
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Ironing out the crease
• On exact correlation functions of chiral ring operators in $2d$ $\mathcal{N}=(2,2)$ SCFTs via localization
• Brane Transitions from Exceptional Groups
• An infrared bootstrap of the Schur index with surface defects
• A perturbative study of holographic mABJM theory
• Higher rank Wilson loops in the $\mathcal{N}=2$ $SU(N)\times SU(N)$ conformal quiver
• Comments on fusion matrix in N=1 super Liouville field theory
• Semi-classical correlator for 1/4 BPS Wilson loop and chiral primary operator with large R-charge
• Quivers, Line Defects and Framed BPS Invariants
• Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• The non-Abelian tensor multiplet
• Integrability treatment of AdS/CFT orbifolds
• Ramond-Ramond couplings of D-branes
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Defect Localized Entropy: Renormalization Group and Holography
• Exact Results in Discretized Gauge Theories
• An exact limit of ABJM
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Gauge and matter superfield theories on $S^2$
• Partition function of N=2* SYM on a large four-sphere
• New supersymmetric index of heterotic compactifications with torsion
• Vortex loop operators and quantum M2-branes
• Mordell integrals and Giveon-Kutasov duality
• Integrated correlators with a Wilson line in a $\mathcal{N}=2$ quiver gauge theory at strong coupling
• Entanglement in Theory Space
• S-duality and supersymmetry on curved manifolds
• Conformal field theories and compact curves in moduli spaces
• More Large $N$ limits of 3d gauge theories
• Elliptic Genus Derivation of 4d Holomorphic Blocks
• Beyond LLM in M-theory
• Wilson loops and its correlators with chiral operators in $\mathcal{N}=2,4$ SCFT at large $N$
• Pentagon identities arising in supersymmetric gauge theory computations
• Superconformal index of higher derivative $\mathcal{N}=1$ multiplets in four dimensions
• Integrability of Orbifold ABJM Theories
• Deconstructing Defects
• Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• Modular properties of full 5D SYM partition function
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling
• General solution of cyclic Leibniz rule
• Black hole spectra in holography: consequences for equilibration of dual gauge theories
• Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• Two Loop Ghost free Quantisation of Wilson Loops in $\mathcal{N}=4$ supersymmetric Yang-Mills
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• 7D supersymmetric Yang-Mills on a 3-Sasakian manifold
• Index of the Transversally Elliptic Complex in Pestunization
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Exact results for Wilson loops in orbifold ABJM theory
• From 5d Flat Connections to 4d Fluxes (the Art of Slicing the Cone)
• 2D BPS Rings from Sphere Partition Functions
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Wilson punctured network defects in 2D q-deformed Yang-Mills theory
• Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities
• Vortex counting and the quantum Hall effect
• S-duality invariant perturbation theory improved by holography
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• The NS limit of the 5D Superconformal Index
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory
• Euclidean supersymmetric solutions with the self-dual Weyl tensor
• Supersymmetric gauge theory on curved 7-branes
• Chiral dualities for SQCD${}_3$ with D-type superpotential
• Linking loops in ABJM and refined theory
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
• Conformal superalgebras via tractor calculus
• Duality Cascades and Affine Weyl Groups
• Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• Resurgence in 2-dimensional Yang-Mills and a genus altering deformation
• (1,0) gauge theories on the six-sphere
• Five-dimensional gauge theories on spheres with negative couplings
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Supersymmetric Wilson loops in two dimensions and duality
• Partition Functions of $\mathcal{N}=1$ Gauge Theories on $S^2\times {\mathbb{R}}_{\epsilon }^2$ and Duality
• Super-Weyl Anomaly from Holography and Rigid Supersymmetry Algebra on Two-Sphere
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• $n$-th parafermion ${\mathcal{W}}_N$ characters from $U(N)$ instanton counting on ${\mathbb{C}}^2/{\mathbb{Z}}_n$
• Wilson Loops and Spherical Branes
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• BPS states and their reductions
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• On the infrared divergence and global colour in N=4 Yang-Mills theory
• Intersecting Surface defects and 3d Superconformal indices
• Generalized Euler Index, Holonomy Saddles, and Wall-Crossing
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• A String Dual for Partially Topological Chern-Simons-Matter Theories
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Comments on Higher Rank Wilson Loops in $\mathcal{N}=2^{\ast }$
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Ladder exponentiation for generic large symmetric representation Wilson loops
• On ${\mathrm{SQED}}_3$ and ${\mathrm{SQCD}}_3$: phase transitions and integrability
• A new large-N limit and the planar equivalence outside the planar limit
• 3d dualities with decoupled sectors and brane transitions
• Aspects of the moduli space of instantons on $\mathbb{C}{P}^2$ and its orbifolds
• Virasoro Constraint for Uglov Matrix Model
• The Euler anomaly and scale factors in Liouville/Toda CFTs
• Charged Conformal Killing Spinors
• Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories
• Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling
• More on Wilson loops for two touching circles
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Holographic Dual of the Eguchi-Kawai Mechanism
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds
• Generalized Toda Theory from Six Dimensions and the Conifold
• Quantisation of type IIB superstring theory and the matrix model
• On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories
• Five-dimensional fermionic Chern-Simons theory
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• The topologically twisted index of $\mathcal{N}=4$ SU($N$) Super-Yang-Mills theory and a black hole Farey tail
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Localization of Gauged Linear Sigma Model for KK5-branes
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• $N^2$ entropy of 4D N=4 SYM
• More on 't Hooft loops in N=4 SYM
• Vortex-strings in N=2 quiver X U(1) theories
• QCD, with Strings Attached
• Interface entropy in four dimensions as Calabi's diastasis on the conformal manifold
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• Localizing non-linear $\mathcal{N}=(2,2)$ sigma model on $S^2$
• Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• Wilson Loops and Integrability
• Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory
• Electric-magnetic Duality of Abelian Gauge Theory on the Four-torus, from the Fivebrane on T2 x T4, via their Partition Functions
• Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories
• Supersymmetric localization: $\mathcal{N}=(2,2)$ theories on S${}^2$ and AdS${}_2$
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Exact Multi-Instanton Solutions to Selfdual Yang-Mills Equation on Curved Spaces
• 't Hooft expansion of multi-boundary correlators in 2D topological gravity
• Holographic Calculations of Euclidean Wilson Loop Correlator in Euclidean anti-de Sitter Space
• Stokes Phenomena in 3d $\mathcal{N}=2$ SQED${}_2$ and ${\mathbb{CP}}^1$ Models
• Fermi-gas correlators of ADHM theory and triality symmetry
• Harmonic forms on asymptotically AdS metrics
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Loop equations for generalised eigenvalue models
• N=(4,4) Vector Multiplets on Curved Two-Manifolds
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• More Fermionic Supersymmetric Wilson loops in Four Dimensions
• Undecidability in Spacetime Geometry via the AdS/CFT Correspondence
• Supersymmetric Localization on dS: Sum over topologies
• 't Hooft expansion of $SO(N)$ and $Sp(N)$ $\mathcal{N}=4$ SYM revisited
• Gauge theories on spheres with 16 supercharges and non-constant couplings
• Index calculation by means of harmonic expansion
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM
• On the existence of the NS5-brane limit of the plane wave matrix model
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• On the planar free energy of matrix models
• Off-shell phase diagram of BPS black holes in AdS${}_5$
• Equivariant localization in Batalin-Vilkovisky formalism
• OPE of line defects in 5d $E_n$ SCFT
• Circumnavigating Collinear Superspace
• The quantum UV-IR map for line defects in $\mathfrak{gl}(3)$-type class $S$ theories
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM
• Dilogarithm ladders from Wilson loops
• Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Partition functions for supersymmetric gauge theories on spheres
• Matrix models for extremal and integrated correlators of higher rank
• N=1 Chern-Simons-matter theory and localization
• Single-flavor Abelian mirror symmetry on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory
• Thermodynamics of large-$N$ gauge theories on a sphere: weak versus strong coupling
• Novel aspects of integrability for NLSMs in symmetric spaces
• Comments on SUSY Exact Action in 3D Supergravity
• A Nonperturbative Proof of Dijkgraaf-Vafa Conjecture
• Auxiliary fields in open gauge theories
• Birth of String Theory
• Navigating Collinear Superspace
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• Higher order RG flow on the Wilson line in $\mathcal{N}=4$ SYM
• Symmetry breaking caused by large R-charge