Massive spin-2 supermultiplet and supergravity

Abstract

In this work, we consider the interaction of massless $N=1$ supergravity with a massive (2,3/2,3/2,1) supermultiplet, as a possible candidate for a supersymmetric extension to bigravity. A gauge invariant description for massive spin-2, spin-3/2 and spin-1 fields is used. As a result of this, ambiguities arise related to possible field redefinitions, which are fixed by using a recently proposed method based on unfolded equations, and by restricting ourselves to interactions with the minimum number of derivatives (two for bosonic and one for fermionic vertices). It appears that this completely fixes the entire construction.