Supersymmetric massive gravity. (English) Zbl 1534.81163
Summary: 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 \(\mathcal{N} \geq 3\) 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.
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83E50 | Supergravity |
| 83C45 | Quantization of the gravitational field |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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