Asian Journal of Mathematics
Volume 18 (2014)
Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry
Pages: 229 – 246
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.
complex structure, Chern connection, balanced Hermitian metric, Strominger system
2010 Mathematics Subject Classification
53C29, 53C55, 81T30