Weyl invariance of the Green-Schwarz heterotic sigma model

Abstract

Weyl invariance at one loop is proven for the heterotic non-linear sigma model coupled to curved superspace with non-trivial fermionic and bosonic background fields. A general formula is given relating the Weyl anomaly to the sigma model β-functions at arbitrary sigma-model loop order. The Weyl anomaly is also considered in the presence of Yang-Mills backgrounds.