Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry

Details Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry

2009-12-27

arxiv.org/abs/0912.5110v1

Mathematics

Differential Geometry

14 pages

Scientific paper

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.

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