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arXiv · 2411.01903

Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories

Aditya Jain·Amin A. Nizami
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Abstract

Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in 4-dimensions. We enumerate the structural form of various spinning 3-point correlators using these invariants and find additional constraints on their form when the operators are conserved supercurrents. For these purposes, we first construct the invariants and 3-point correlators in non-supersymmetric $4d$ CFTs which are then extended using superspace methods to $4d$ SCFTs.

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Aditya Jain, Amin A. Nizami. 2024-11-04. Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories. https://doi.org/10.1007/jhep02(2025)037

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