Authors: Björn Andreas Norbert Hoffmann
Publish Date: 2012/04/05
Volume: 2012, Issue: 4, Pages: 27-
Abstract
We construct a class of stable SU5 bundles on an elliptically fibered CalabiYau 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 SU5 GUTgroup 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 nonKähler deformations of CalabiYau geometries with bundles This particular class of solutions involves a rank two hidden sector bundle and does not require background fivebranes for anomaly cancellation
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