The heterotic G2 moduli space metric

A bstract In this article we dimensionally reduce a heterotic supergravity on a G 2 background with Minkowski spacetime using a certain cohomology as a basis for the Kaluza-Klein expansion, up to and including first order in α ‵. We construct the moduli space heterotic G 2 compactifications. The α ‵-correction induces a curvature correction to the Weyl-Peterson metric. In the limit in which the G 2 manifold reduces to SU(3), we recover known results.