Notes on Superconformal Chern-Simons-Matter Theories

Abstract

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbatively. We study the theories in the large N limit, and compute the two-loop anomalous dimension of certain long operators. Our result suggests that various N=2 U(N) Chern-Simons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.

47 pages, 20 figures

References in corpus (10)

• Flux Compactification
• Transcendentality and Crossing
• Giant Magnons
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• On the Singularities of the Magnon S-matrix
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Infinite spin limit of semiclassical string states
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• On the Strong Coupling Scaling Dimension of High Spin Operators
• New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology

Cited by in corpus (237)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• The Exact Superconformal R-Symmetry Extremizes Z
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• The complete superconformal index for N=6 Chern-Simons theory
• Seiberg Duality in Chern-Simons Theory
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Comments on 3d Seiberg-like dualities
• The Higher Spin/Vector Model Duality
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• A supermatrix model for N=6 super Chern-Simons-matter theory
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Landscape of superconducting membranes
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Exactly Marginal Deformations and Global Symmetries
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Tilings, Chern-Simons Theories and M2 Branes
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Three-dimensional N=6 SCFT's and their membrane dynamics
• The gauge dual of Romans mass
• N = 8 Superconformal Chern--Simons Theories
• The AdS4/CFT3 algebraic curve
• Classification of N=6 superconformal theories of ABJM type
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• On the Lie-algebraic origin of metric 3-algebras
• Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
• ABJM with Flavors and FQHE
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• A note on the holography of Chern-Simons matter theories with flavour
• Bosonization and Mirror Symmetry
• One-loop corrections to Bagger-Lambert theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Multiple Membranes in M-theory
• Supersymmetric Chern-Simons Theories with Vector Matter
• Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter
• Membranes with a boundary
• New string vacua from twistor spaces
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Towards a holographic marginal Fermi liquid
• Hawking radiation in large N strongly-coupled field theories
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• AdS_4/CFT_3 duals from M2-branes at hypersurface singularities and their deformations
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Conformal field theories in anti-de Sitter space
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Vortex Loop Operators, M2-branes and Holography
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• M2-branes and AdS/CFT
• Localization on three-dimensional manifolds
• Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Duality and Higher Temperature Phases of Large $N$ Chern-Simons Matter Theories on $S^2\times S^1$
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Three-dimensional gauge theories with supersymmetry enhancement
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• The Gravity Dual of Supersymmetric Renyi Entropy
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• The F-Theorem and F-Maximization
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• A Duality Appetizer
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• Interacting fermions and N=2 Chern-Simons-matter theories
• Multiple D2-Brane Action from M2-Branes
• On Large N Solution of ABJM Theory
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Evidence for Aharony duality for orthogonal gauge groups
• Marginal Deformations and 3-Algebra Structures
• Adding Flavor to AdS4/CFT3
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
• M2-brane Probe Dynamics and Toric Duality
• Correlation functions of magnon and spike
• Supersymmetric States in Large N Chern-Simons-Matter Theories
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• Supersymmetric Defect Models and Mirror Symmetry
• Exact Instanton Expansion of ABJM Partition Function
• Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM
• A Note on CFT Correlators in Three Dimensions
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• Large N phase transitions in supersymmetric Chern-Simons theory with massive matter
• Framing and localization in Chern-Simons theories with matter
• On Large N Solution of Gaiotto-Tomasiello Theory
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Romans-mass-driven flows on the D2-brane
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• F-maximization along the RG flows: a proposal
• Refined Checks and Exact Dualities in Three Dimensions
• A note on the reduction of the AdS4 x CP3 string sigma model
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Perturbative c-theorem in d-dimensions
• Dressed Giant Magnons on CP^3
• The $L_{\infty }$ structure of gauge theories with matter
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• A Systematic Study on Matrix Models for Chern-Simons-matter Theories
• Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model
• Superconformal Sigma Models in Three Dimensions
• Topological Chern-Simons Sigma Model
• Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories
• Superconformal Indices for Orbifold Chern-Simons Theories
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Z-extremization and F-theorem in Chern-Simons matter theories
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Chern-Simons-Matter Theory and Mirror Symmetry
• Runaway in the Landscape
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• Exact results for vortex loop operators in 3d supersymmetric theories
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• Marginal deformations of 3d $\mathcal{N}=2$ CFTs from AdS${}_4$ backgrounds in generalised geometry
• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• BPS Wilson loops and quiver varieties
• Superpotentials for superconformal Chern-Simons theories from representation theory
• Interpolating Wilson loops and enriched RG flows
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• M-Theory and Maximally Supersymmetric Gauge Theories
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Spontaneous breaking of superconformal invariance in (2+1)D supersymmetric Chern-Simons-matter theories in the large N limit
• Dualities and flavored indices of M2-brane SCFTs
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs
• (Un)Higgsing the M2-brane
• 3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes
• Z Extremization in Chiral-Like Chern Simons Theories
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• Comments on F-maximization and R-symmetry in 3D SCFTs
• Super-Chern-Simons spectra from Exceptional Field Theory
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Wilson-loop One-point Functions in ABJM Theory
• 3d N=4 Bootstrap and Mirror Symmetry
• The Morphology of N=6 Chern-Simons Theory
• The Conformal Manifold of Chern-Simons Matter Theories
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Localization and Duality for ABJM Latitude Wilson Loops
• Chern-Simons-Higgs Theory with Visible and Hidden Sectors and its $\mathcal{N}=2$ SUSY Extension
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Supersymmetric Wilson loops with general contours in ABJM theory
• Monopole operators, moduli spaces and dualities
• Mass-deformed $\mathcal{N}=3$ Supersymmetric Chern-Simons-Matter Theory
• Two-Loop Spectroscopy of Short ABJM Operators
• On the pulsating strings in AdS_4 x CP3
• 1/3 BPS loops and defect CFTs in ABJM theory
• A counterexample to the CFT convexity conjecture
• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• On the exact R charge for N=2 CS theories
• The giant graviton expansion in $Ad{S}_5\times S^5$
• Wilson loops and defect RG flows in ABJM
• Near Flat Space limit of strings on AdS_4 x CP^3
• Halving ISO(7) supergravity
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• Chern-Simons dualities with multiple flavors at large $N$
• Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory
• A CFT Distance Conjecture
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Spin chain for the deformed ABJM theory
• Probing AdS4/CFT3 proposals beyond chiral rings
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• M5 spikes and operators in the HVZ membrane theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories
• Localization and Non-Renormalization in Chern-Simons Theory
• D=(2+1) O(N) Wess-Zumino model in a large N limit
• More Large $N$ limits of 3d gauge theories
• M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Supersymmetry Breaking in Chern-Simons-matter Theories
• Linking loops in ABJM and refined theory
• Wilson loops in N=6 superspace for ABJM theory
• Noncommutative supersymmetric Chern-Simons-matter model
• Exact results for Wilson loops in orbifold ABJM theory
• A Lagrangian for self-dual strings
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• Topological resolution of gauge theory singularities
• The role of PSL(2,7) in M-theory: M2-branes, Englert equation and the septuples
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Abelian dualities and line defect indices for 3d gauge theories
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Crepant Resolutions of ${\mathbb{C}}^3/{\mathbb{Z}}_4$ and the Generalized Kronheimer Construction (in view of the Gauge/Gravity Correspondence)
• Off-shell construction of superconformal Chern-Simons theories in three dimensions
• Perturbative aspects of mass-deformed N=3 Chern-Simons-matter theory
• Superconformal Chern-Simons theories beyond leading order
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Exact Results in Supersymmetric Gauge Theories
• The Integral Form of D=3 Chern-Simons Theories Probing ${\mathbb{C}}^n/\Gamma$ Singularities
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• Linear Chern-Simons-matter Theories in the Planar Limit
• Free Energy of ABJM Theory
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• Classical Monopole Solutions to $\mathcal{N}=3$ Chern-Simons-Yang-Mills Theories
• A network of hyperloops
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Equivariant and supersymmetric localization in QFT
• Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories
• Aspects of ABJM orbifolds with discrete torsion