An approach to solve Slavnov-Taylor identity in D4 N=1 supergravity

TL;DR

This paper presents a method to solve the Slavnov-Taylor identity in four-dimensional pure supergravity by introducing dressing functions, resulting in a local invariant effective action for dressed superfields.

Contribution

It introduces a novel approach using dressing functions to solve the Slavnov-Taylor identity in pure supergravity, ensuring invariance of the effective action.

Findings

Solution obtained by inserting dressing functions into ghost sector

Effective action remains local and invariant under diffeomorphisms

Applicable to pure supergravity without superfields

Abstract

We consider a particular solution to Slavnov-Taylor identity in four-dimensional supergravity. The consideration is performed for pure supergravity, no matter superfields are included. The solution is obtained by inserting dressing functions into ghost part of the classical action for supergravity.As a consequence, physical part of the effective action is local invariant with respect to diffeomorphism and structure groups of transformation for dressed effective superfields of vielbein and spin connection.