doi:10.4310/AJM.2014.v18.n2.a3engUgarte, LuisVillacampa, RaquelNon-nilpotent complex geometry of nilmanifolds and heterotic supersymmetryART-2014-83363We 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.2014http://zaguan.unizar.es/record/16564610.4310/AJM.2014.v18.n2.a3http://zaguan.unizar.es/record/165646oai:zaguan.unizar.es:165646Asian Journal of Mathematics 18, 2 (2014), 229-246All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess