Heterotic non-Kähler geometries via polystable bundles on Calabi-Yau threefolds |
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Authors: | Björn Andreas Mario Garcia-Fernandez |
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Institution: | a Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Germanyb Center for Quantum Geometry of Moduli Spaces, Department of Mathematical Sciences, Aarhus University, Ny Munkegade 118, bldg. 1530, DK-8000 Aarhus C, Denmark |
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Abstract: | In arXiv:1008.1018 it is shown that a given stable vector bundle V on a Calabi-Yau threefold X which satisfies c2(X)=c2(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. |
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Keywords: | Algebraic geometry Differential geometry String theory |
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