Local Heterotic Reductions

<!--HTML-->Hitchin systems and Higgs bundles have recently been used to understand local aspects of M-theory compactifications on G2 manifolds. I will consider a similar approach from the heterotic point of view, using the heterotic/M-theory duality. Specifically, I will study alpha' corrections to the reduced heterotic system using the Hull-Strominger system. I will present some explicit solutions and also make some observations on the reduced moduli problem, which couples gauge and gravitational degrees of freedom once alpha'-corrections are included.