Abstract
We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete intersections of two hypersurfaces in a six dimensional ambient space. We first construct three-dimensional base manifolds that are hypersurfaces in a toric ambient space. We search for divisors which can support an F-theory GUT. The fourfolds are obtained as elliptic fibrations over these base manifolds. We find that elementary conditions which are motivated by F-theory GUTs lead to strong constraints on the geometry, which significantly reduce the number of suitable models. The complete database of models is available at [1]. We work out several examples in more detail.
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Knapp, J., Kreuzer, M., Mayrhofer, C. et al. Toric construction of global F-theory GUTs. J. High Energ. Phys. 2011, 138 (2011). https://doi.org/10.1007/JHEP03(2011)138
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DOI: https://doi.org/10.1007/JHEP03(2011)138