SU(5) heterotic Standard Model bundles

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Abstract

We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under the involution, solve the topological constraint imposed by the heterotic anomaly equation and give three generations of Standard Model fermions after symmetry breaking by Wilson lines of the intermediate SU(5) GUT-group to the Standard Model gauge group. Among the solutions we find some which can be perturbed to solutions of the Strominger system. Thus these solutions provide a step toward the construction of phenomenologically realistic heterotic flux compactifications via non-Kähler deformations of Calabi-Yau geometries with bundles. This particular class of solutions involves a rank two hidden sector bundle and does not require background fivebranes for anomaly cancellation.

Keywords

Compactification and String Models Superstrings and Heterotic Strings Supersymmetric Standard Model Differential and Algebraic Geometry 
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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Institut für MathematikFreie Universität BerlinBerlinGermany

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