Supersymmetric action for 6D (4, 0) supergravity

Abstract

Abstract We give a linearized but otherwise complete supersymmetric action for $$ \mathcal{N} $$ N = (4, 0) supergravity in six dimensions, using a Kaluza-Klein-type 5 + 1 split of coordinates and fields. We provide in particular a significantly simplified version of the bosonic action derived by us recently. This formulation employs fields that are no longer irreducible, subject to a local Lorentz invariance, which in turn simplifies the supersymmetry transfor mations including the exotic gravitino.