Connections, Field Redefinitions and Heterotic Supergravity

Understand

We study heterotic supergravity at $\mathcal{O}(\alpha')$, first described in detail in 1989 by Bergshoeff and de Roo.

• In particular, we discuss an ambiguity of a connection choice on the tangent bundle.
• It is well known that at $\mathcal{O}(\alpha')$ the Hull connection gives a consistent supergravity theory with supersymmetry transformations given in the usual way.
• We consider deformations of this connection corresponding to field redefinitions, and the necessary corrections to the supersymmetry transformations.