Heterotic action in SUGRA-SYM background

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 Lambda F is crucially used. For technical reason, the Yang-Mills field is restricted to be abelian.