Heterotic non-Kahler geometries via polystable bundles on Calabi-Yau threefolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Andreas, Bjoern¹  Garcia-Fernandez, Mario² 

[1] Univ Berlin, Inst Math, D-12489 Berlin, Germany

[2] Aarhus Univ, Dept Math Sci, Ctr Quantum Geometry Moduli Spaces, DK-8000 Aarhus C, Denmark

关键词: Algebraic geometry;    Differential geometry;    String theory;   

DOI  :  10.1016/j.geomphys.2011.10.013

来源: Elsevier

【 摘 要 】

In arXiv:1008.1018 it is shown that a given stable vector bundle V on a Calabi-Yau threefold X which satisfies c(2)(X) = c(2)(V) can be deformed to a solution of the Strominger system and the equations of motion of heterotic string theory. In this note we extend this result to the polystable case and construct explicit examples of polystable bundles on elliptically fibered Calabi-Yau threefolds where it applies. The polystable bundle is given by a spectral cover bundle, for the visible sector, and a suitably chosen bundle, for the hidden sector. This provides a new class of heterotic flux compactifications via non-Kahler deformation of Calabi-Yau geometries with polystable bundles. As an application, we obtain examples of non-Kahler deformations of some three generation GUT models. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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