Supersymmetric action for 6D $(4,0)$ supergravity

TL;DR

This paper presents a linearized, complete supersymmetric action for six-dimensional ${ m N}=(4,0)$ supergravity, utilizing a Kaluza-Klein split and simplified field representations to facilitate supersymmetry transformations.

Contribution

It introduces a simplified, linearized supersymmetric action for 6D ${ m N}=(4,0)$ supergravity with a novel field formulation and a Kaluza-Klein approach.

Findings

Provides a complete supersymmetric action for 6D ${ m N}=(4,0)$ supergravity.

Simplifies the bosonic action and supersymmetry transformations.

Employs a non-irreducible field formulation with local Lorentz invariance.

Abstract

We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ 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 transformations including the exotic gravitino.