Heterotic Action in SUGRA-SYM Background

TL;DR

This paper constructs and proves the kappa-symmetric heterotic string action in a ten-dimensional supergravity and super Yang-Mills background, extending previous formulations with a covariant approach.

Contribution

It introduces a covariant heterotic string action in a supergravity-super Yang-Mills background and demonstrates its kappa-symmetry, with a focus on the abelian Yang-Mills case.

Findings

Successfully constructed the kappa-symmetric heterotic action.

Proved kappa-symmetry of the action.

Utilized the Bianchi identity of Type I supergravity with super Yang-Mills.

Abstract

We consider the generalization of the heterotic action considered by Cherkis and Schwarz where the chiral bosons are introduced in a manifestly covariant way using an auxiliary field. In particular, we construct the kappa-symmetric heterotic action in ten-dimensional supergravity background coupled to super Yang-Mills theory and prove its kappa-symmetry. The usual Bianchi identity of Type I supergravity with super Yang-Mills $dH_3= -\tr F\wedge F$ is crucially used. For technical reason, the Yang-Mills field is restricted to be abelian.