Correlators of Large N Fermionic Chern-Simons Vector Models

Abstract

We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the `t Hooft coupling N/k. It was suggested recently that this theory is dual to the Legendre-transformed theory of scalar fields coupled to Chern-Simons gauge interactions. Our results show that this duality holds for any value of the `t Hooft coupling, at least at the level of the planar 3-point functions. In addition, we determine the sign in the duality transformation of the Chern-Simons level, as well as the relation between the "triple-trace" deformation which exists in the bosonic Chern-Simons theory and in the Legendre-transformed fermionic theory.

23 pages, 3 figures

References in corpus (4)

• Seiberg Duality in Chern-Simons Theory
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Supersymmetric Chern-Simons Theories with Vector Matter

Cited by in corpus (87)

• Baryons, monopoles and dualities in Chern-Simons-matter theories
• One Loop Tests of Higher Spin AdS/CFT
• The Thermal Free Energy in Large N Chern-Simons-Matter Theories
• Chern Simons duality with a fundamental boson and fermion
• Duality between $(2+1)d$ Quantum Critical Points
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Light-Front Bootstrap for Chern-Simons Matter Theories
• On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models
• 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
• Disorder Operators in Chern-Simons-Fermion Theories
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Duality and Higher Temperature Phases of Large $N$ Chern-Simons Matter Theories on $S^2\times S^1$
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Chern Simons Bosonization along RG Flows
• Veneziano Amplitude of Vasiliev Theory
• 3d Abelian Gauge Theories at the Boundary
• Chern-Simons Matter Theories and Higher Spin Gravity
• Momentum space parity-odd CFT 3-point functions
• A Complex Fermionic Tensor Model in $d$ Dimensions
• Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
• Superspace formulation and correlation functions of 3d superconformal field theories
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• A test of bosonization at the level of four-point functions in Chern-Simons vector models
• Transport in Chern-Simons-Matter Theories
• 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
• Constraining momentum space correlators using slightly broken higher spin symmetry
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• 3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge
• Four-point functions in large $N$ Chern-Simons fermionic theories
• Metastable Vacua in Large-$N$ QCD${}_3$
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Large N Chern-Simons with massive fundamental fermions - A model with no bound states
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Chern-Simons-Ghost Theories and de Sitter Space
• Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Dense Chern-Simons Matter with Fermions at Large N
• Mirror Symmetry and Bosonization in 2d and 3d
• The Massive Fermion Phase for the U(N) Chern-Simons Gauge Theory in D=3 at Large N
• Mixed three-point functions of conserved currents in three-dimensional superconformal field theory
• Chern-Simons theory coupled to bifundamental scalars
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field
• ABJ Quadrality
• An all order exact result for the anomalous dimension of the scalar primary in Chern Simons Vector Models
• Duality and Transport for Supersymmetric Graphene from the Hemisphere Partition Function
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Three-point functions of a superspin-2 current multiplet in 3D, N=1 superconformal theory
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• Anyonic correlation functions in Chern-Simons matter theories
• Vacuum structure of large $N$ QCD${}_3$ from holography
• Matter Chern Simons Theories in a Background Magnetic Field
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Mass-deformed $\mathcal{N}=3$ Supersymmetric Chern-Simons-Matter Theory
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Charting the phase diagram of QCD${}_3$
• Conformal Truncation of Chern-Simons Theory at Large $N_f$
• $A_{\infty }$ Algebras from Slightly Broken Higher Spin Symmetries
• Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions
• Chern-Simons dualities with multiple flavors at large $N$
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• Three-point functions of conserved currents in 3D CFT: general formalism for arbitrary spins
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Spectral sum rules for conformal field theories in arbitrary dimensions
• Three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Holographic Chern-Simons Defects
• The Analytic Bootstrap for Large $N$ Chern-Simons Vector Models
• New Phase Transitions in Chern-Simons Matter Theory
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• Grassmann-odd three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory
• Large N Thirring Matter in Three Dimensions
• Emergent Supersymmetry at Large $N$
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• Phases of QCD${}_3$ with three families of fundamental flavors