Abstract
We consider semi-local F-theory GUTs arising from a single E 8 point of local enhancement, leading to simple GUT groups based on E 6, SO(10) and SU(5) with SU(3), SU(4) and SU(5) spectral covers, respectively. Assuming the minimal \( {\mathcal{Z}_2} \) monodromy, we determine the homology classes and the associated spectra after flux breaking for each case. Using these results we construct an E 6 based model that demonstrates, for the first time, that it is possible to construct a phenomenologically viable model which leads to the MSSM at low energies. The exotics that result from flux breaking all get a large mass when singlet fields acquire vacuum expectation values driven by D- and F-flatness. Due to the underlying GUT symmetry and the U(1)s descending from E 8, bare baryon- and lepton-number violating terms are forbidden up to and including dimension 5. As a result nucleon decay is naturally suppressed below present bounds. The μ-term is generated by non-perturbative U(1) breaking effects. After including the effect of flux and instanton corrections acceptable quark and charged lepton masses and mixing angles can be obtained. Neutrinos get a mass from the see-saw mechanism through their coupling to singlet neutrinos that acquire large Majorana mass as a result of the monodromy.
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Callaghan, J.C., King, S.F., Leontaris, G.K. et al. Towards a realistic F-theory GUT. J. High Energ. Phys. 2012, 94 (2012). https://doi.org/10.1007/JHEP04(2012)094
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DOI: https://doi.org/10.1007/JHEP04(2012)094