On massive super(bi)gravity in the constructive approach

TL;DR

This paper explores supersymmetric extensions of massive (bi)gravity theories by constructing cubic interaction vertices with limited derivatives, aiming to connect with supergravity and analyze massless limits.

Contribution

It introduces a method to construct cubic interaction vertices for massive spin-2 and spin-3/2 fields within supergravity frameworks, focusing on smooth deformations.

Findings

Constructed cubic interaction vertices with no more than one derivative.

Identified limits where fields become massless, connecting to supergravity.

Provided a framework for supersymmetric massive gravity models.

Abstract

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive spin-3/2 fields restricting ourselves with the terms containing no more than one derivative so that such models can be considered as the smooth deformations for the usual (spontaneously broken) supergravity. Also we investigate all possible limits where one of the fields becomes massless.