Eur. Phys. J. C (2013) 73: 2549
https://doi.org/10.1140/epjc/s10052-013-2549-9

Letter

Massive gravity with N=1 local supersymmetry

Physics Department, American University of Beirut, Beirut, Lebanon

^* e-mail: omh09@aub.edu.lb

Received: 4 May 2013
Revised: 1 July 2013
Published online: 12 September 2013

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.