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Standard Models from Heterotic String Theory

We describe a new way to derive the Standard model from the heterotic string. Turning on a Wilson line on a non-simply connected Calabi-Yau threefold with an SU(5) gauge group we get the chiral fermions of the Standard Model. We construct stable Z2-invariant SU(4) × U(1) bundles on an elliptically fibered cover CalabiYau threefold of special fibration type. The construction makes use of a modified spectral cover approach giving just invariant bundles.