Highlights in Supergravity: CCJ 47 Years Later
Sergio Ferrara, Marine Samsonyan

TL;DR
This paper revisits the supercurrent in N=1 supergravity, clarifying its formulation via a chiral compensator and exploring its conservation laws in different matter couplings within curved superspace.
Contribution
It provides a detailed expression for the supercurrent in superconformal supergravity and analyzes its conservation laws for various matter couplings in curved superspace.
Findings
Supercurrent expressed via chiral compensator in superconformal formulation
Different conservation laws for superconformal and non-superconformal matter
Application to classifying rigid curved superspace geometries
Abstract
We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the conformal gauge is used. Superconformal and non-superconformal matter give different conservation laws of the supercurrent, when coupled to the curvature supermultiplets which underlie the local superspace geometry. This approach can be applied to any set of auxiliary fields and it is useful to classify rigid curved superspace geometries. Examples with four supersymmetries are briefly described.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Pulsars and Gravitational Waves Research
