Abstract
We construct F-theory GUT models without exotic matter, leading to the MSSM matter spectrum with potential singlet extensions. The interplay of engineering explicit geometric setups, absence of four-dimensional anomalies, and realistic phenomenology of the couplings places severe constraints on the allowed local models in a given geometry. In constructions based on the spectral cover we find no model satisfying all these requirements. We then provide a survey of models with additional U(1) symmetries arising from rational sections of the elliptic fibration in toric constructions and obtain phenomenologically appealing models based on SU(5) tops. Furthermore we perform a bottom-up exploration beyond the toric section constructions discussed in the literature so far and identify benchmark models passing all our criteria, which can serve as a guideline for future geometric engineering.
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Krippendorf, S., Peña, D.K.M., Oehlmann, PK. et al. Rational F-theory GUTs without exotics. J. High Energ. Phys. 2014, 13 (2014). https://doi.org/10.1007/JHEP07(2014)013
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DOI: https://doi.org/10.1007/JHEP07(2014)013