Standard Model bundles of the heterotic string

Details Standard Model bundles of the heterotic string Standard Model bundles of the heterotic string

2004-12-16

arxiv.org/abs/hep-th/0412182v2

Int.J.Mod.Phys. A21 (2006) 1261-1282

Physics

High Energy Physics

High Energy Physics - Theory

23 pp; minor remarks added

Scientific paper

10.1142/S0217751X06025109

We show how to construct supersymmetric three-generation models with gauge group and matter content of the Standard Model in the framework of non-simply-connected elliptically fibered Calabi-Yau manifolds Z. The elliptic fibration on a cover Calabi-Yau, where the model has 6 generations of SU(5) and the bundle is given via the spectral cover description, has a second section leading to the needed free involution. The relevant involution on the defining spectral data of the bundle is identified for a general Calabi-Yau of this type and invariant bundles are generally constructible.

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