Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter

Abstract

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any N=2 theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure Chern-Simons theory with gauge group U(N), showing agreement with the known results, and ABJM, showing agreement with perturbative calculations. Our method applies to other theories, such as Gaiotto-Witten theories, BLG, and their variants.

32 pages

References in corpus (3)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory

Cited by in corpus (602)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• SUSY Gauge Theories on Squashed Three-Spheres
• From weak to strong coupling in ABJM theory
• Chern-Simons Theory with Vector Fermion Matter
• Notes on SUSY Gauge Theories on Three-Sphere
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• Exact Results in D=2 Supersymmetric Gauge Theories
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• 3d dualities from 4d dualities
• A topologically twisted index for three-dimensional supersymmetric theories
• ABJM theory as a Fermi gas
• Index for three dimensional superconformal field theories with general R-charge assignments
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• F-Theorem without Supersymmetry
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• Comments on 3d Seiberg-like dualities
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Supersymmetric Field Theories on Three-Manifolds
• Non-perturbative effects and the refined topological string
• Nonperturbative aspects of ABJM theory
• Nonperturbative Tests of Three-Dimensional Dualities
• Bootstrapping the superconformal index with surface defects
• Exact Results in ABJM Theory from Topological Strings
• Holomorphic Blocks in Three Dimensions
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• M5-branes from gauge theories on the 5-sphere
• Summing Up All Genus Free Energy of ABJM Matrix Model
• The Geometry of Supersymmetric Partition Functions
• N=2 supersymmetric theories on squashed three-sphere
• Exact results for the entanglement entropy and the energy radiated by a quark
• Supersymmetry on Curved Spaces and Holography
• Exploring Curved Superspace
• Comments on twisted indices in 3d supersymmetric gauge theories
• Supersymmetric Gauge Theories on the Five-Sphere
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Localization on Hopf surfaces
• 4d Index to 3d Index and 2d TQFT
• Correlation Functions of Coulomb Branch Operators
• Holographic Duals of D=3 N=4 Superconformal Field Theories
• From 4d superconformal indices to 3d partition functions
• Factorisation of N = 2 theories on the squashed 3-sphere
• Refined stable pair invariants for E-, M- and [p,q]-strings
• Defects and Quantum Seiberg-Witten Geometry
• Seiberg-Witten Theories on Ellipsoids
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Exact Kahler Potential from Gauge Theory and Mirror Symmetry
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• The Holography of F-maximization
• On Three Dimensional Quiver Gauge Theories and Integrability
• Instanton Bound States in ABJM Theory
• Exact Results on the ABJM Fermi Gas
• Membrane instantons from a semiclassical TBA
• Relation between the 4d superconformal index and the S^3 partition function
• Down the rabbit hole with theories of class S
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Higgs branch localization in three dimensions
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Renyi Entropies for Free Field Theories
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Towards a $C$-theorem in defect CFT
• Dual Boundary Conditions in 3d SCFT's
• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric partition functions and the three-dimensional A-twist
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Supersymmetric Renyi Entropy
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• $L_{\infty }$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
• Explicit examples of DIM constraints for network matrix models
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• Seifert fibering operators in 3d $\mathcal{N}=2$ theories
• Perturbative partition function for a squashed S^5
• Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• New supersymmetric Wilson loops in ABJ(M) theories
• Universal RG Flows Across Dimensions and Holography
• Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Exact Slope and Interpolating Functions in ABJM Theory
• Multiple Membranes in M-theory
• EFT and the SUSY Index on the 2nd Sheet
• SUSY monopole potentials in 2+1 dimensions
• A note on perturbation series in supersymmetric gauge theories
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Black hole entropy in massive Type IIA
• An E7 Surprise
• 3d Chern-Simons Theory from M5-branes
• From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
• 3d & 5d gauge theory partition functions as q-deformed CFT correlators
• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
• Probing non-perturbative effects in M-theory
• Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Exact results on ABJ theory and the refined topological string
• Cohomological localization of Chern-Simons theory
• Solving M-theory with the Conformal Bootstrap
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• Localization on Three-Manifolds
• Matrix models from operators and topological strings
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Microstate Counting of $Ad{S}_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
• Three-sphere free energy for classical gauge groups
• 3d Partition Function as Overlap of Wavefunctions
• 3D-partition functions on the sphere: exact evaluation and mirror symmetry
• Extended Supersymmetry on Curved Spaces
• AGT on the S-duality Wall
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Direct derivation of "mirror" ABJ partition function
• High-temperature asymptotics of supersymmetric partition functions
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• ABJ Fractional Brane from ABJM Wilson Loop
• The supersymmetric NUTs and bolts of holography
• The large N limit of M2-branes on Lens spaces
• Topological Strings and Quantum Spectral Problems
• Reducing the 4d Index to the S^3 Partition Function
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Exploring Curved Superspace (II)
• Line Operator Index on S1 $\times$ S3
• From Rigid Supersymmetry to Twisted Holomorphic Theories
• The supersymmetric index in four dimensions
• Exact results for supersymmetric abelian vortex loops in 2+1 dimensions
• Resumming the string perturbation series
• Instanton effects in ABJM theory with general R-charge assignments
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• M-theoretic matrix models
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• Holographic duals of 3d S-fold CFTs
• ABJM Wilson Loops in Arbitrary Representations
• IIB Duals of D=3 N=4 Circular Quivers
• Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
• 3d analogs of Argyres-Douglas theories and knot homologies
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Localization of 3d $\mathcal{N}=2$ Supersymmetric Theories on $S^1\times D^2$
• Rank $Q$ E-string on a torus with flux
• The Partition Function of ABJ Theory
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• Aharony Dualities for 3d Theories with Adjoint Matter
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Higgs branch localization of $\mathcal{N}=1$ theories on $S^3\times S^1$
• Monopole Operators in $U(1)$ Chern-Simons-Matter Theories
• Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
• Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• The M-theory Archipelago
• Localization on three-dimensional manifolds
• S-duality and the N=2 Lens Space Index
• S^3/Z_n partition function and dualities
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Quivers, YBE and 3-manifolds
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Non-Abelian Localization for Supersymmetric Yang-Mills-Chern-Simons Theories on Seifert Manifold
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Universal 3d Cardy Block and Black Hole Entropy
• N=2 Dualities and Z Extremization in Three Dimensions
• On RG Flow of tau_{RR} for Supersymmetric Field Theories in Three-Dimensions
• High-Temperature Expansion of Supersymmetric Partition Functions
• 5D SYM and 2D q-Deformed YM
• N=2 supersymmetric AdS_4 solutions of M-theory
• Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography
• Three-Dimensional Superconformal Field Theory on Conic Space as Hologram of Charged Topological Black Hole
• Matrix Models for Supersymmetric Chern-Simons Theories with an ADE Classification
• Generalized Indices for $\mathcal{N}=1$ Theories in Four-Dimensions
• Comments on the Casimir energy in supersymmetric field theories
• New and old N=8 superconformal field theories in three dimensions
• Towards the exact Bremsstrahlung function of ABJM theory
• 5D SYM on 3D Sphere and 2D YM
• Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Holographic Interfaces in N=4 SYM: Janus and J-folds
• Redeeming Bad Theories
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories
• Dualities for 3d Theories with Tensor Matter
• Supersymmetric Rényi Entropy in Five Dimensions
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• Superconformal indices of $\mathcal{N}=4$ SYM field theories
• Aspects of Defects in 3d-3d Correspondence
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Instanton Effects in Orbifold ABJM Theory
• The Infrared Physics of Bad Theories
• Large $N$ Partition Functions of the ABJM Theory
• D2-brane Chern-Simons theories: F-maximization = a-maximization
• The Gravity Dual of Supersymmetric Renyi Entropy
• Clustering and the Three-Point Function
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• $N^3$ entropy of M5 branes from dielectric effect
• The gravity dual of supersymmetric gauge theories on a squashed $S^1\times S^3$
• On Supersymmetric Gauge Theories on S^4 x S^1
• Seiberg dualities and the 3d/4d connection
• The F-Theorem and F-Maximization
• Sum rules for characters from character-preservation property of matrix models
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• Interacting fermions and N=2 Chern-Simons-matter theories
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• Two-loop cusp anomaly in ABJM at strong coupling
• Partition functions on 3d circle bundles and their gravity duals
• Evidence for Aharony duality for orthogonal gauge groups
• Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
• Cardy Formula for 4d SUSY Theories and Localization
• Supersymmetric Localization for BPS Black Hole Entropy: 1-loop Partition Function from Vector Multiplets
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• Three-dimensional de Sitter horizon thermodynamics
• On matrix models and their $q$-deformations
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Euclidean Supergravity
• Exact Bremsstrahlung functions in ABJM theory
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• ABJM on ellipsoid and topological strings
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Intersecting Surface Defects and Instanton Partition Functions
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• The star-triangle relation, lens partition function, and hypergeometric sum/integrals
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• 3d $\mathcal{N}=4$ OPE Coefficients from Fermi Gas
• A tale of exceptional 3d dualities
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Squashing, Mass, and Holography for 3d Sphere Free Energy
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Dualities and Phases of 3D N=1 SQCD
• Superconformal Index with Duality Domain Wall
• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Holography of 3d-3d correspondence at Large N
• Wilson loops at large $N$ and the quantum M2 brane
• Rigid 6D supersymmetry and localization
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Instanton Effects in Orientifold ABJM Theory
• Large N duality beyond the genus expansion
• Boundaries, Vermas, and Factorisation
• Strong-Coupling Phases of Planar N=2* Super-Yang-Mills Theory
• 3d-3d Correspondence Revisited
• Supersymmetry of the C-metric and the general Plebanski-Demianski solution
• A Crack in the Conformal Window
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Vanishing superconformal indices and the chiral symmetry breaking
• Black holes with baryonic charge and $\mathcal{I}$-extremization
• Exact probes of orientifolds
• Exact relations between M2-brane theories with and without Orientifolds
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• ABJM at finite $N$ via 4d supergravity
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• Exact Instanton Expansion of ABJM Partition Function
• Exact Quantization Conditions, Toric Calabi-Yau and Nonperturbative Topological String
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• A 5d/3d duality from relativistic integrable system
• Aspects of Non-Relativistic Quantum Field Theories
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Introduction to localization in quantum field theory
• Large N phase transitions in supersymmetric Chern-Simons theory with massive matter
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Sphere correlation functions and Verma modules
• Localization at large N in Chern-Simons-matter theories
• Framing and localization in Chern-Simons theories with matter
• 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
• Free Energy of D_n Quiver Chern-Simons Theories
• On the Exact Interpolating Function in ABJ Theory
• Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons
• On Large N Solution of Gaiotto-Tomasiello Theory
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• An introduction to supersymmetric field theories in curved space
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
• Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Chern-Simons and RG Flows: Contact with Dualities
• Calabi-Yau Volumes and Reflexive Polytopes
• Localisation on Sasaki-Einstein manifolds from holomophic functions on the cone
• ABJM Theory with mass and FI deformations and Quantum Phase Transitions
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• $q$-Virasoro modular double and 3d partition functions
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• From Schurs to Giants in ABJ(M)
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Matrix Quantization of Gravitational Edge Modes
• Localization of Supersymmetric Chern-Simons-Matter Theory on a Squashed $S^3$ with $SU(2)\times U(1)$ Isometry
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Romans-mass-driven flows on the D2-brane
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• F-maximization along the RG flows: a proposal
• Mapping out the internal space in AdS/BCFT with Wilson loops
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• 3d mirror symmetry as a canonical transformation
• Refined Checks and Exact Dualities in Three Dimensions
• Basic hypergeometry of supersymmetric dualities
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• $\mathcal{N}=2$ supersymmetric field theories on 3-manifolds with A-type boundaries
• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Perturbative c-theorem in d-dimensions
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• A Systematic Study on Matrix Models for Chern-Simons-matter Theories
• String theory duals of Wilson loops from Higgsing
• Ellipsoid partition function from Seiberg-Witten monopoles
• Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers
• N=2 SUSY gauge theories on S^4
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• Review of localization for 5d supersymmetric gauge theories
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Supersymmetric solutions and Borel singularities for N=2 supersymmetric Chern-Simons theories
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• On Three-Dimensional Quiver Gauge Theories of Type B
• Supersymmetric backgrounds from 5d N=1 supergravity
• Z-extremization and F-theorem in Chern-Simons matter theories
• Rigid Supersymmetry on 5-dimensional Riemannian Manifolds and Contact Geometry
• Killing superalgebras for Lorentzian four-manifolds
• Tests of Seiberg-like Duality in Three Dimensions
• Supersymmetric D3/D5 for massive defects on curved space
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• 3d Mirror Symmetry from S-duality
• Topological anomalies for Seifert 3-manifolds
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Three Dimensional Mirror Symmetry and Partition Function on $S^3$
• Marginal deformations and defect anomalies
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• On 3d Seiberg-like Dualities with Two Adjoints
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• Localization on round sphere revisited
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• A matrix model for the latitude Wilson loop in ABJM theory
• 4D and 2D superconformal index with surface operator
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• Charged particle-like branes in ABJM
• Donaldson-Witten theory and indefinite theta functions
• Non-Perturbative Defects in Tensor Models from Melonic Trees
• BPS Wilson loops and quiver varieties
• Comments on knotted 1/2 BPS Wilson loops
• Superfield theories on $S^3$ and their localization
• Mirror Symmetry in Three Dimensions via Gauged Linear Quivers
• Interpolating Wilson loops and enriched RG flows
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Expanding 3d $\mathcal{N}=2$ Theories around the Round Sphere
• 3d $\mathcal{N}=2$ $\widehat{ADE}$ Chern-Simons Quivers
• Refined 3d-3d Correspondence
• The Hilbert series of U/SU SQCD and Toeplitz Determinants
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• An $\mathcal{N}=1$ 3d-3d Correspondence
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Analytic continuation of dimensions in supersymmetric localization
• 4d partition function on S^1 x S^3 and 2d Yang-Mills with nonzero area
• Supersymmetric Rényi Entropy and Defect Operators
• A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions
• Star shaped quivers with flux
• Charging the Superconformal Index
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Intersecting Defects and Supergroup Gauge Theory
• Giambelli Identity in Super Chern-Simons Matrix Model
• On Three-Dimensional Mirror Symmetry
• Toward Precision Holography in Type IIA with Wilson Loops
• Spectral Theories and Topological Strings on del Pezzo Geometries
• One-loop tests of supersymmetric gauge theories on spheres
• From the planar limit to M-theory
• Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• ABJ Quadrality
• Relations between supersymmetric structures in UV and IR for $\mathcal{N}=4$ bad theories
• Wilson loop algebras and quantum K-theory for Grassmannians
• Localizing gauge theories on $S^d$
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
• Z Extremization in Chiral-Like Chern Simons Theories
• Hanany-Witten Transition in Quantum Curves
• Duality and Transport for Supersymmetric Graphene from the Hemisphere Partition Function
• Quantum phase transition in many-flavor supersymmetric QED${}_3$
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
• Comments on F-maximization and R-symmetry in 3D SCFTs
• Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces
• 3d N=4 Bootstrap and Mirror Symmetry
• A note on multiply wound BPS Wilson loops in ABJM
• Factorising the 3D Topologically Twisted Index
• Topologically twisted index of $T[SU(N)]$ at large $N$
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Matter Chern Simons Theories in a Background Magnetic Field
• Taming Supersymmetric Defects in 3d-3d Correspondence
• Wilson-loop One-point Functions in ABJM Theory
• One-Dimensional Sectors From the Squashed Three-Sphere
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Index and duality of minimal N=4 Chern-Simons-matter theories
• Gravity dual of dynamically broken supersymmetry
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• The topological line of ABJ(M) theory
• A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
• Integrable lattice spin models from supersymmetric dualities
• Wilson loops on three-manifolds and their M2-brane duals
• Localization and Duality for ABJM Latitude Wilson Loops
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
• BPS Indices, Modularity and Perturbations in Quantum K-theory
• Generalized Giveon-Kutasov duality
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Observations on BPS observables in 6d
• Superconformal index on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ and mirror symmetry
• SYM on Quotients of Spheres and Complex Projective Spaces
• What lattice theorists can do for superstring/M-theory
• Connecting Mirror Symmetry in 3d and 2d via Localization
• Abelian 3d mirror symmetry on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ with $N_f=1$
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• Elliptic modular double and 4d partition functions
• On three-point functions in ABJM and the latitude Wilson loop
• Exact results for ABJ Wilson loops and open-closed duality
• Supersymmetric vortex loops in 3D gauge theories
• 1/3 BPS loops and defect CFTs in ABJM theory
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Higher Rank ABJM Wilson Loops from Matrix Models
• Localization principle in SUSY gauge theories
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Wilson loops and defect RG flows in ABJM
• Killing superalgebras for Lorentzian six-manifolds
• Two-Point Functions in ABJM Matrix Model
• Non-toric Cones and Chern-Simons Quivers
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$
• On the exact R charge for N=2 CS theories
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Fermi gas approach to general rank theories and quantum curves
• SU(N) q-Toda equations from mass deformed ABJM theory
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• On Large N Expansion of the Sphere Free Energy
• Gromov-Witten invariants and localization
• Exact SUSY Wilson loops on $S^3$ from $q$-Virasoro constraints
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• 3d $\mathcal{N}=2$ dualities for $SU(N_c)\times U(1)$ Chern-Simons gauge theories
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• ABJM Baryon Stability and Myers effect
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms
• Superconformal structures on the three-sphere
• Probing AdS4/CFT3 proposals beyond chiral rings
• Branes, partition functions and quadratic monopole superpotentials
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• Partition Function of $N=2$ Gauge Theories on a Squashed $S^4$ with $SU(2)\times U(1)$ Isometry
• Towards U(N|M) knot invariant from ABJM theory
• Exact WKB Analysis of ${\mathbb{CP}}^1$ Holomorphic Blocks
• $QC{D}_3$ Dualities and the F-Theorem
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• M2-branes and $\mathfrak{q}$-Painlevé equations
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Localization and Non-Renormalization in Chern-Simons Theory
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• 3d superconformal indices and isomorphisms of M2-brane theories
• Solving Mass-deformed Holography Perturbatively
• Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs
• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Operator Counting for N=2 Chern-Simons Gauge Theories with Chiral-like Matter Fields
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• ABJ Theory in the Higher Spin Limit
• Faces of matrix models
• Ramond-Ramond couplings of D-branes
• Mordell integrals and Giveon-Kutasov duality
• Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Exact Results in Discretized Gauge Theories
• Marginal deformations from type IIA supergravity
• Vortex loop operators and quantum M2-branes
• A perturbative study of holographic mABJM theory
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Gauge and matter superfield theories on $S^2$
• An exact limit of ABJM
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• Microscopics of de Sitter Entropy from Precision Holography
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Mirror Symmetry and Mixed Chern-Simons Levels for Abelian 3d $\mathcal{N}=2$ theories
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• General modular quantum dilogarithm and beta integrals
• More Large $N$ limits of 3d gauge theories
• Pentagon identities arising in supersymmetric gauge theory computations
• Higgs and Coulomb Branch Descriptions of the Volume of the Vortex Moduli Space
• Deconstructing Defects
• Exact results for Wilson loops in orbifold ABJM theory
• 7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds
• Holographic (Eternal) Inflation
• Linking loops in ABJM and refined theory
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Supersymmetric gauge theory on curved 7-branes
• Chiral dualities for SQCD${}_3$ with D-type superpotential
• S-duality in the Cardy-like limit of the superconformal index
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• New Pentagon Identities Revisited
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• (1,0) gauge theories on the six-sphere
• Subleading corrections to the free energy in a theory with $N^{5/3}$ scaling
• Large N instantons from topological strings
• Random matrix approach to three-dimensional QCD with a Chern-Simons term
• The large-N partition function for non-parity-invariant Chern-Simons-matter theories
• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• Duality Cascades and Affine Weyl Groups
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• BPS states and their reductions
• Supersymmetric Wilson loops in two dimensions and duality
• Polyakov Loops for the ABJ Theory
• Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
• Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models
• One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• 3d dualities with decoupled sectors and brane transitions
• Klebanov-Witten flows in M-theory
• Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories
• Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $su(1,1)$ oscillators
• On ${\mathrm{SQED}}_3$ and ${\mathrm{SQCD}}_3$: phase transitions and integrability
• Abelian dualities and line defect indices for 3d gauge theories
• Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit
• A String Dual for Partially Topological Chern-Simons-Matter Theories
• A new large-N limit and the planar equivalence outside the planar limit
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Dualities and loops on squashed $S^3$
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• $N^2$ entropy of 4D N=4 SYM
• Stability of $SU(N_c)$ QCD3 from the $\epsilon$-Expansion
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Gauge theories on spheres with 16 supercharges and non-constant couplings
• $S^1$ Reduction of 4D $\mathcal{N}=3$ SCFTs and Squashing Independence of ABJM Theories
• Harmonic forms on asymptotically AdS metrics
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• N=(4,4) Vector Multiplets on Curved Two-Manifolds
• N=2 Chern-Simons-Matter Theories Without Vortices
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory
• Stokes Phenomena in 3d $\mathcal{N}=2$ SQED${}_2$ and ${\mathbb{CP}}^1$ Models
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• Fermi-gas correlators of ADHM theory and triality symmetry
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories
• Framing fermionic Wilson loops in ABJ(M)
• The Holographic Contributions to the Sphere Free Energy
• Topological phase, spin Chern-Simons theory and level rank duality on lens space
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• One-point functions for doubly-holographic BCFTs and backreacting defects
• Linear Chern-Simons-matter Theories in the Planar Limit
• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas
• A Nonperturbative Proof of Dijkgraaf-Vafa Conjecture
• Symmetry breaking caused by large R-charge
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Note on Quantum Periods and a TBA-like System
• QFT Realization of Non-Unitary $\mathfrak{sl}(2,\mathbb{C})$ WRT Invariants and Their Galois Conjugations
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Comments on SUSY Exact Action in 3D Supergravity
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Partition functions for supersymmetric gauge theories on spheres
• On the structure of quadrilateral brane tilings