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Standard Model bundles of the heterotic string

Gottfried Curio
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Abstract

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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Gottfried Curio. 2006-05-11. Standard Model bundles of the heterotic string. https://doi.org/10.1142/s0217751x06025109

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