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

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 ${\mathbf{Z}}_2$-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.

21 pages, description of embedding included; minor changes

References in corpus (1)

• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds

Cited by in corpus (2)

• Perturbative Anti-Brane Potentials in Heterotic M-theory
• Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory