000129669 001__ 129669
000129669 005__ 20240720100842.0
000129669 0247_ $$2doi$$a10.1016/j.geomphys.2023.105014
000129669 0248_ $$2sideral$$a135852
000129669 037__ $$aART-2023-135852
000129669 041__ $$aeng
000129669 100__ $$0(orcid)0000-0002-1567-7159$$aOtal, Antonio
000129669 245__ $$aSix dimensional homogeneous spaces with holomorphically trivial canonical bundle
000129669 260__ $$c2023
000129669 5060_ $$aAccess copy available to the general public$$fUnrestricted
000129669 5203_ $$aWe classify all the 6-dimensional unimodular Lie algebras gadmitting a complex structure with non-zero closed (3, 0)-form. This gives rise to 6-dimensional compact homogeneous spaces M= \G, where is a lattice, admitting an invariant complex structure with holomorphically trivial canonical bundle. As an application, in the balanced Hermitian case, we study the instanton condition for any metric connection ∇ε,ρ in the plane generated by the Levi-Civita connection and the Gauduchon line of Hermitian connections. In the setting of the Hull-Strominger system with connection on the tangent bundle being HermitianYang-Mills, we prove that if a compact non-Kähler homogeneous space M= \Gadmits an invariant solution with respect to some non-flat connection ∇in the family ∇ε,ρ, then Mis a nilmanifold with underlying Lie algebra h3, a solvmanifold with underlying algebra g7, or a quotient of the semisimple group SL(2, C). Since it is known that the system can be solved on these spaces, our result implies that they are the unique compact non-Kähler balanced homogeneous spaces admitting such invariant solutions. As another application, on the compact solvmanifold underlying the Nakamura manifold, we construct solutions, on any given balanced Bott-Chern class, to the heterotic equations of motion taking the Chern connection as (flat) instanton.
000129669 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00
000129669 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000129669 590__ $$a1.6$$b2023
000129669 592__ $$a0.617$$b2023
000129669 591__ $$aMATHEMATICS$$b50 / 489 = 0.102$$c2023$$dQ1$$eT1
000129669 593__ $$aGeometry and Topology$$c2023$$dQ2
000129669 591__ $$aPHYSICS, MATHEMATICAL$$b25 / 60 = 0.417$$c2023$$dQ2$$eT2
000129669 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ2
000129669 593__ $$aMathematical Physics$$c2023$$dQ2
000129669 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000129669 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, Luis$$uUniversidad de Zaragoza
000129669 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000129669 773__ $$g194 (2023), 105014 [27 pp.]$$pJ. geom. phys.$$tJOURNAL OF GEOMETRY AND PHYSICS$$x0393-0440
000129669 8564_ $$s690401$$uhttps://zaguan.unizar.es/record/129669/files/texto_completo.pdf$$yVersión publicada
000129669 8564_ $$s2119340$$uhttps://zaguan.unizar.es/record/129669/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000129669 909CO $$ooai:zaguan.unizar.es:129669$$particulos$$pdriver
000129669 951__ $$a2024-07-19-18:46:26
000129669 980__ $$aARTICLE