Heterotic moduli, the double extension and the alpha'^2 metric
We compute the heterotic moduli-space metric through $\alpha'^2$ for backgrounds admitting a smooth $\alpha'\to0$ limit. The Kaehler potential is unchanged when written in an appropriate field basis suggested by the ten-dimensional supersymmetry equations, while the metric receives $\alpha'^2$ corrections, including a torsion-induced mixing of complex-structure and hermitian deformations. We discuss this and clarify the roles of the extension bundle, F-terms, the D-terms and the string-derived moduli space metric.
hep-th↗