$SO(32)$ heterotic standard model vacua in general Calabi-Yau compactifications

Abstract

We study a direct flux breaking scenario in $SO(32)$ heterotic string theory on general Calabi-Yau threefolds. The direct flux breaking, corresponding to hypercharge flux breaking in the F-theory context, allows us to derive the Standard Model in general Calabi-Yau compactifications. We present a general formula leading to the three generations of quarks and leptons and no chiral exotics in a background-independent way. As a concrete example, we show the three-generation model on a complete intersection Calabi-Yau threefold.

arXiv comment22 pages

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• Mass hierarchy from the flavor symmetry in supersymmetric multi-Higgs doublet model
• Upper bound on the Atiyah-Singer index from tadpole cancellation