Supersymmetric Massive Gravity

TL;DR

This paper systematically constructs and analyzes supersymmetric massive gravity interactions, revealing their relation to ghost-free models and exploring high-energy behavior, supersymmetric Galileons, and double copy structures.

Contribution

It introduces a comprehensive superspace formalism for massive graviton interactions and identifies unique consistent interactions for maximal supersymmetry.

Findings

For $ abla ext{≥}3$ supersymmetry, interactions match ghost-free dRGT model.

Maximal supersymmetry ($ abla=4$) yields a unique interaction avoiding superluminality.

Connections to supersymmetric Galileons and massive double copy are discussed.

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 $\mathcal{N}\geq 3$ 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.