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

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

2006-02-23

arxiv.org/abs/hep-th/0602247v3

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, description of embedding included; minor changes

Scientific paper

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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