Invariant Bundles on $B$-fibered Calabi-Yau Spaces and the Standard Model

Bjorn Andreas; Gottfried Curio

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arXiv · hep-th/0602247

Invariant Bundles on $B$-fibered Calabi-Yau Spaces and the Standard Model

Bjorn Andreas·Gottfried Curio

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Abstract

We derive the Standard model gauge group together with chiral fermion generations from the heterotic string by turning on a Wilson line on a non-simply connected Calabi-Yau threefold with an SU(5) gauge group. For this we construct stable ${\bf Z_2}$-invariant $SU(4)\times U(1)$ bundles on an elliptically fibered cover Calabi-Yau threefold of special fibration type (the $B$-fibration). The construction makes use of a modified spectral cover approach giving just invariant bundles.

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BibTeX RIS

Bjorn Andreas, Gottfried Curio. 2007-03-16. Invariant Bundles on $B$-fibered Calabi-Yau Spaces and the Standard Model. https://arxiv.org/abs/hep-th/0602247

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