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April 2014 Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry
Luis Ugarte, Raquel Villacampa
Asian J. Math. 18(2): 229-246 (April 2014).


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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Luis Ugarte. Raquel Villacampa. "Non-nilpotent complex geometry of nilmanifolds and heterotic supersymmetry." Asian J. Math. 18 (2) 229 - 246, April 2014.


Published: April 2014
First available in Project Euclid: 27 August 2014

zbMATH: 1296.53143
MathSciNet: MR3217635

Primary: 53C29 , 53C55 , 81T30

Keywords: balanced Hermitian metric , Chern connection , complex structure , Strominger system

Rights: Copyright © 2014 International Press of Boston

Vol.18 • No. 2 • April 2014
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