0912.5110 (Luis Ugarte et al.)

Non-nilpotent complex geometry of nilmanifolds and heterotic
supersymmetry    [PDF]

Luis Ugarte, Raquel Villacampa

We classify non-nilpotent complex structures on 6-nilmanifolds and their associated invariant balanced metrics. As an application we find a large family of solutions of the heterotic supersymmetry equations with non-zero flux, non-flat instanton and constant dilaton satisfying the anomaly cancellation condition with respect to the Chern connection.

View original: http://arxiv.org/abs/0912.5110