Supercurrents in N=1 Minimal Supergravity in the Superconformal Formalism
Sergio Ferrara, Marine Samsonyan, Magnus Tournoy, Antoine Van, Proeyen
TL;DR
This paper analyzes the Einstein tensor and supercurrent in minimal supergravity formulations using the superconformal formalism, deriving their conservation laws and Ward identities in curved backgrounds.
Contribution
It provides generalized expressions for Einstein tensor and supercurrent in old and new minimal supergravity within the superconformal approach, expanding understanding of their conservation laws.
Findings
Derived Einstein tensor and supercurrent expressions in supergravity.
Established Ward identities for these quantities in curved backgrounds.
Compared old and new minimal supergravity formulations.
Abstract
We discuss the Einstein tensor, the supercurrent and their conservation laws of old and new minimal formulations of supergravity in the superconformal approach. The variation of the action with respect to the gauge field of the -symmetry in the conformal approach (the auxiliary field in the super-Poincar\'{e} action) allows to find the Einstein tensor and supercurrent in any curved background. Hence generalized expressions for their Ward identities follow. This proceeding is based on arXiv:1805.09228, arXiv:1705.02272.
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