Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry
Differential Geometry
2012-12-05 v2 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0912.5110,
title = {Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry},
author = {Luis Ugarte and Raquel Villacampa},
journal= {arXiv preprint arXiv:0912.5110},
year = {2012}
}
Comments
14 pages; minor corrections, to appear in Asian J. Math