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arXiv · 1308.4778

Superspace formulation and correlation functions of 3d superconformal field theories

Amin A. Nizami·Tarun Sharma·V. Umesh
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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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Amin A. Nizami, Tarun Sharma, V. Umesh. 2014-07-08. Superspace formulation and correlation functions of 3d superconformal field theories. https://doi.org/10.1007/jhep07(2014)022

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