Resumen: Conformally compact and complete smooth solutions to the Strominger sys- tem with non vanishing flux, non-trivial instanton and non-constant dilaton using the first Pontrjagin form of the (-)-connection on 6-dimensional non-K ¨ahler nilmanifold are pre- sented. In the conformally compact case the dilaton is determined by the real slices of the elliptic Weierstrass function. The dilaton of non-compact complete solutions is given by the fundamental solution of the Laplacian on R4. All solutions satisfy the heterotic equations of motion up to the first order of a'. Idioma: Inglés DOI: 10.1007/JHEP06(2014)073 Año: 2014 Publicado en: JOURNAL OF HIGH ENERGY PHYSICS 2014, 6 (2014), [23 pp] ISSN: 1126-6708 Factor impacto JCR: 6.111 (2014) Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 3 / 27 = 0.111 (2014) - Q1 - T1 Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 Tipo y forma: Artículo (Versión definitiva) Área (Departamento): Geometría y Topología (Departamento de Matemáticas)