Supersymmetric Massive Gravity

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