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Superspace formulation and correlation functions of 3d superconformal field theories

Authors
  • Nizami, Amin A.
  • Sharma, Tarun
  • Umesh, V.
Type
Preprint
Publication Date
Jul 08, 2014
Submission Date
Aug 22, 2013
Identifiers
DOI: 10.1007/JHEP07(2014)022
Source
arXiv
License
Yellow
External links

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.

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