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 N = 1, 2, 3, 4 and 6 super-conformal symmetry. For 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. © 2014 The Author(s).