Resumen: 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. Idioma: Inglés DOI: 10.4310/AJM.2014.v18.n2.a3 Año: 2014 Publicado en: Asian Journal of Mathematics 18, 2 (2014), 229-246 ISSN: 1093-6106 Factor impacto JCR: 0.532 (2014) Categ. JCR: MATHEMATICS rank: 185 / 310 = 0.597 (2014) - Q3 - T2 Categ. JCR: MATHEMATICS, APPLIED rank: 197 / 256 = 0.77 (2014) - Q4 - T3 Tipo y forma: Article (Published version) Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)