The heterotic G2 moduli space metric

In this article we dimensionally reduce a heterotic supergravity on a G₂ 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 G₂ compactifications. The α‵ -correction induces a curvature correction to the Weyl-Peterson metric. In the limit in which the G₂ manifold reduces to SU(3), we recover known results.