Massive Gravity with N=1 local Supersymmetry

TL;DR

This paper develops a supersymmetric extension of a well-established massive gravity theory using N=1 supergravity, ensuring the theory is ghost-free and includes a spectrum of a massive graviton, gravitinos, and a vector.

Contribution

It introduces a novel N=1 supersymmetric formulation of massive gravity, maintaining consistency and ghost-freedom at the quadratic level.

Findings

The supersymmetric action is ghost-free at quadratic order.

The spectrum includes a massive graviton, two gravitinos, and a vector.

The construction preserves local N=1 supersymmetry.

Abstract

A consistent theory of massive gravity, where the graviton acquires mass by spontaneously breaking diffeomorphism invariance, is now well established. We supersymmetrize this construction using N =1 fields. Coupling to N = 1 supergravity is done by applying the rules of tensor calculus to construct an action invariant under local N = 1 supersymmetry. The supersymmetric action is shown, at the quadratic level, to be free of ghosts and have as its spectrum a massive graviton, two gravitinos with different masses, and a massive vector.