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Heterotic Non-Kähler Geometries via Polystable Bundles on Calabi-Yau Threefolds

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  • Bjorn Andreas, Humboldt University of Berlin, Germany
  • Mario Garcia Fernandez, Denmark
  • Centre for Quantum Geometry of Moduli Spaces
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-Kähler deformation of Calabi-Yau geometries with polystable bundles. As an application, we obtain examples of non- Kähler deformations of some three generation GUT models.
Original languageEnglish
JournalJournal of Geometry and Physics
Pages (from-to) 183–188
Number of pages6
Publication statusPublished - Feb 2012

    Research areas

  • algebraic geometry, differential geometry, string theory

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