Covariant actions for N=1, D=6 Supergravity theories with chiral bosons

TL;DR

This paper extends a covariant formulation for chiral p-forms to supersymmetric theories in six dimensions, providing a general method for constructing covariant actions for chiral bosons in supergravity contexts.

Contribution

It introduces a systematic approach to formulate covariant actions for chiral bosons within supersymmetric theories in six dimensions, including supergravity and tensor supermultiplets.

Findings

Constructed covariant actions for tensor supermultiplets in D=6

Extended covariant formulation to supergravity theories

Provided a general method for chiral boson actions

Abstract

We show that the recently found covariant formulation for chiral $p$--forms in $2(p+1)$ dimensions with $p$ even, can be naturally extended to supersymmetric theories. We present the general method for writing covariant actions for chiral bosons and construct, in particular, in six dimensions covariant actions for one tensor supermultiplet, for pure supergravity and for supergravity coupled to an arbitrary number of tensor supermultiplets.