Hidden sectors of Chern-Simons Matter theories and Exact Holography

Abstract

Chiral higher-spin gravity is a higher-spin extension of both self-dual Yang-Mills and self-dual gravity and is a unique local higher-spin gravity in four dimensions. Its existence implies that there are two closed subsectors in Chern-Simons matter theories. We make first steps in identifying these (anti-)chiral subsectors directly on the CFT side, which should result in a holographically dual pair where both sides are nontrivial, complete, yet exactly soluble. We also discuss closely related theories: self-dual Yang-Mills (SDYM) and self-dual gravity (SDGR) in the holographic context.

arXiv commentFixed minor typos and clarified some notation

References in corpus (101)

• Gauge Theory Correlators from Non-Critical String Theory
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Review of AdS/CFT Integrability: An Overview
• AdS Dual of the Critical O(N) Vector Model
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• Fractional M2-branes
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• On graviton non-Gaussianities during inflation
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Chern-Simons Theory with Vector Fermion Matter
• Projectors, Shadows, and Conformal Blocks
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Stringy gravity, interacting tensionless strings and massless higher spins
• Implications of conformal invariance in momentum space
• The Worldsheet Dual of the Symmetric Product CFT
• ABJM theory as a Fermi gas
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Constraining conformal field theories with a slightly broken higher spin symmetry
• Particle-Vortex Duality from 3d Bosonization
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Conformal Higher Spin Theory
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Light-Front Higher-Spin Theories in Flat Space
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Holography of the N=1 Higher-Spin Theory on AdS4
• Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Effective action in a higher-spin background
• Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman's Master Integrals
• Chern Simons duality with a fundamental boson and fermion
• Higher Spin Symmetry and N=4 SYM
• Free Large N Supersymmetric Yang-Mills Theory as a String Theory
• Quantum Chiral Higher Spin Gravity
• Higher-Spin Gauge Theories and Bulk Locality
• On limits of superstring in AdS_5 x S^5
• Correlators of Large N Fermionic Chern-Simons Vector Models
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Renormalised 3-point functions of stress tensors and conserved currents in CFT
• Chiral Higher Spin Theories and Self-Duality
• Towards Massless Higher Spin Extension of D=5, N=8 Gauged Supergravity
• More on Quantum Chiral Higher Spin Gravity
• Higher-spin massless S-matrices in four-dimensions
• On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models
• On the spectrum of AdS/CFT beyond supergravity
• ABJ Triality: from Higher Spin Fields to Strings
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• Supersymmetric Chern-Simons Theories with Vector Matter
• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Notes on Spinning Operators in Fermionic CFT
• AdS Maps and Diagrams of Bi-local Holography
• A Note on (Non)-Locality in Holographic Higher Spin Theories
• A Derivation of AdS/CFT for Vector Models
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• 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 $S^2\times S^1$
• Veneziano Amplitude of Vasiliev Theory
• Self-Dual Gravity
• New Conformal Higher Spin Gravities in $3d$
• Double copy structure of parity-violating CFT correlators
• Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
• One-loop Finiteness of Chiral Higher Spin Gravity
• Higher spin 3-point functions in 3d CFT using spinor-helicity variables
• Chern-Simons Matter Theories and Higher Spin Gravity
• Momentum space parity-odd CFT 3-point functions
• A test of bosonization at the level of four-point functions in Chern-Simons vector models
• Momentum space spinning correlators and higher spin equations in three dimensions
• Relation between parity-even and parity-odd CFT correlation functions in three dimensions
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Helicity basis for three-dimensional conformal field theory
• Formal Higher Spin Gravities
• Type-B Formal Higher Spin Gravity
• Constraining momentum space correlators using slightly broken higher spin symmetry
• Spin-Locality of ${\eta }^2$ and ${\bar{\eta }}^2$ Quartic Higher-Spin Vertices
• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• Four-point functions in large $N$ Chern-Simons fermionic theories
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Chiral Higher Spin Gravity and Convex Geometry
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Characteristic Cohomology and Observables in Higher Spin Gravity
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• An all order exact result for the anomalous dimension of the scalar primary in Chern Simons Vector Models
• Four point functions in CFT's with slightly broken higher spin symmetry
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Anyonic correlation functions in Chern-Simons matter theories
• Frobenius-Chern-Simons gauge theory
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• On correlation functions as higher-spin invariants
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory