61558 20190709135449.0 doi 10.1016/j.nuclphysb.2017.04.021 sideral 99254 ART-2017-99254 eng (orcid)0000-0002-1567-7159 Otal Germán, Antonio Invariant solutions to the Strominger system and the heterotic equations of motion 2017 Access copy available to the general public Unrestricted We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ¿e,¿¿e,¿ in the anomaly cancellation equation. The ansatz ¿e,¿¿e,¿ is a natural extension of the canonical 1-parameter family of Hermitian connections found by Gauduchon, as one recovers the Chern connection ¿c¿c for View the MathML source(e,¿)=(0,12), and the Bismut connection ¿+¿+ for View the MathML source(e,¿)=(12,0). In particular, explicit invariant solutions to the Strominger system with respect to the Chern connection, with non-flat instanton and positive a'a' are obtained. Furthermore, we give invariant solutions to the heterotic equations of motion with respect to the Bismut connection. Our solutions live on three different compact non-Kähler homogeneous spaces, obtained as the quotient by a lattice of maximal rank of a nilpotent Lie group, the semisimple group SL(2,C)SL(2,C) and a solvable Lie group. To our knowledge, these are the only known invariant solutions to the heterotic equations of motion, and we conjecture that there is no other such homogeneous space admitting an invariant solution to the heterotic equations of motion with respect to a connection in the ansatz ¿e,¿¿e,¿. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.285 2017 PHYSICS, PARTICLES & FIELDS 11 / 29 = 0.379 2017 Q2 T2 1.744 2017 Nuclear and High Energy Physics 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0003-2207-8653 Ugarte Vilumbrales, Luis Universidad de Zaragoza (orcid)0000-0001-6790-7342 Villacampa Gutierrez, Raquel 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 920 (2017), 442-474 Nucl. phys., B NUCLEAR PHYSICS B 0550-3213 649672 http://zaguan.unizar.es/record/61558/files/texto_completo.pdf Versión publicada 55719 http://zaguan.unizar.es/record/61558/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:61558 articulos driver 2019-07-09-11:39:35 ARTICLE