Supersymmetric Massive Gravity

Abstract

We initiate a systematic study of the self-interactions of a massive spin-2 "graviton" consistent with up to $\mathcal{N}=4$ supersymmetry. Using a recently developed massive on-shell superspace formalism, we construct the most general set of cubic massive graviton amplitudes in a form with all supersymmetry and Lorentz invariance manifest. We find that for $\mathcal{N}\ge 3$ supersymmetry, the family of consistent interactions coincide with those of the ghost-free dRGT model. For $\mathcal{N}=4$ (maximal) supersymmetry there is a single consistent cubic interaction which coincides with the unique structure required for the absence of asymptotic superluminality. Additionally, we discuss the structure of interactions in the high-energy limit, connections to supersymmetric Galileons and the possibility of a supersymmetric massive double copy.

61 pages, 5 tables

References in corpus (10)

• Resummation of Massive Gravity
• All tree-level amplitudes in N=4 SYM
• Galileons as Wess-Zumino Terms
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Mimicking Lambda with a spin-two ghost condensate
• A class of charged black hole solutions in massive (bi)gravity
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• The Big Constant Out, The Small Constant In
• A Scale-up of Lambda_3
• On AdS/CFT without Massless Gravitons

Cited by in corpus (2)

• Goldstino condensation at large N
• On-shell Supersymmetry and higher-spin amplitudes