Direct relation of linearized supergravity to superconformal formulation

TL;DR

This paper establishes a direct correspondence between linearized supergravity and superconformal formulation, enabling combined use and extension to higher dimensions.

Contribution

It introduces a modification of 4D N=1 linearized supergravity that fully aligns superfield components with the superconformal formulation, facilitating broader applications.

Findings

Complete identification of superfield components with superconformal fields

Enabling combined use of both supergravity formulations

Foundation for extending to higher-dimensional supergravities

Abstract

We modify the four-dimensional N=1 linearized supergravity in a way that components in each superfield are completely identified with fields in the full superconformal formulation. This identification makes it possible to use both formulations of supergravity in a complementary manner. It also provides a basis for an extension to higher-dimensional supergravities.