Superspace formulation and correlation functions of 3d superconformal field theories

Abstract

We study $3d$ SCFTs in the superspace formalism and discuss superfields and on-shell higher spin current multiplets in free $3d$ SCFTs with $\mathcal{N}=1,2,3,4$ and $6$ superconformal symmetry. For $\mathcal{N}=1$ 3d SCFTs we determine the superconformal invariants in superspace needed for constructing 3-point functions of higher spin operators, find the non-linear relations between the invariants and consequently write down all the independent invariant structures, both parity even and odd, for various 3-point functions of higher spin operators.

typos corrected, references added. Accepted for publication in JHEP

References in corpus (3)

• Chern Simons duality with a fundamental boson and fermion
• Off-shell superconformal nonlinear sigma-models in three dimensions
• Chern-Simons-Fermion Vector Model with Chemical Potential

Cited by in corpus (26)

• Conformal Collider Physics from the Lightcone Bootstrap
• Off-shell superconformal higher spin multiplets in four dimensions
• Bootstrapping the Minimal 3D SCFT
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Supersymmetric dS/CFT
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• Mixed three-point functions of conserved currents in three-dimensional superconformal field theory
• Three-point functions of a superspin-2 current multiplet in 3D, N=1 superconformal theory
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Correlation functions of spinor current multiplets in $\mathcal{N}=1$ superconformal theory
• Superconformal invariants and spinning correlators in 3d $\mathcal{N}=2$ SCFTs
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• 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
• Three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• Three-point functions of conserved currents in 4D CFT: general formalism for arbitrary spins
• Grassmann-odd three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT
• Spinors in Supersymmetric dS/CFT
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Three-point functions of fermionic higher-spin currents in 4D conformal field theory
• Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories
• Three-point functions of higher-spin spinor current multiplets in $\mathcal{N}=1$ superconformal theory