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Main Authors: Engelbrecht, Laura, Jones, Callum R. T., Paranjape, Shruti
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2205.12982
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author Engelbrecht, Laura
Jones, Callum R. T.
Paranjape, Shruti
author_facet Engelbrecht, Laura
Jones, Callum R. T.
Paranjape, Shruti
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2205_12982
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Supersymmetric Massive Gravity
Engelbrecht, Laura
Jones, Callum R. T.
Paranjape, Shruti
High Energy Physics - Theory
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.
title Supersymmetric Massive Gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2205.12982