Massive gravity with N=1 local supersymmetry
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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.
KeywordsGhost Vector Multiplet Massive Gravity Graviton Mass Bosonic Case
I would like to thank Professor Ali Chamseddine for suggesting the problem and for his many helpful discussions on the subject. I would like to thank the American University of Beirut (Faculty of Science) for support.
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