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An \(SU(5)\) heterotic standard model. (English) Zbl 1247.81348
Summary: We introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has gauge group \(SU(3)_C\times SU(2)_L\times U(1)_Y\). Our model is obtained from a compactification of heterotic strings on a Calabi-Yau threefold with \(Z_{2}\) fundamental group, coupled with an invariant \(SU(5)\) bundle. Depending on the region of moduli space in which the model lies, we obtain a spectrum consisting of the three generations of the Standard Model, augmented by 0, 1 or 2 Higgs doublet conjugate pairs. In particular, we get the first compactification involving a heterotic string vacuum (i.e., a stable bundle) yielding precisely the MSSM with a single pair of Higgs.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14J81 Relationships with physics
81V22 Unified quantum theories
81T60 Supersymmetric field theories in quantum mechanics
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