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Supersymmetric Standard Model from the heterotic string. II. (English) Zbl 1149.81344
Summary: We describe in detail a \(\mathbb Z_6\) orbifold compactification of the heterotic \(E_8\times E_8\) string which leads to the (supersymmetric) Standard Model gauge group and matter content. The quarks and leptons appear as three 16-plets of \(\text{SO}(10)\), two of which are localized at fixed points with local \(\text{SO}(10)\) symmetry. The model has supersymmetric vacua without exotics at low energies and is consistent with gauge coupling unification. Supersymmetry can be broken via gaugino condensation in the hidden sector. The model has large vacuum degeneracy. Certain vacua with approximate B-L symmetry have attractive phenomenological features. The top quark Yukawa coupling arises from gauge interactions and is of the order of the gauge couplings. The other Yukawa couplings are suppressed by powers of Standard Model singlet fields, similarly to the Froggatt-Nielsen mechanism.
For Part I see {W. Buchmüller} et al. [Phys. Rev. Lett. 96, No. 12, 121602, 4 pp. (2006)].

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81V22 Unified quantum theories
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