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Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section
We determine the discrete gauge symmetries that arise in F-theory
compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a
section. We construct genus-one fibered Calabi-Yau 4-folds using Fano
manifolds, cyclic 3-fold covers of Fano 4-folds, and Segre embeddings of
products of projective spaces. Discrete , ,
and symmetries arise in these constructions. We
introduce a general method to obtain multisections for several constructions of
genus-one fibered Calabi-Yau manifolds. The pullbacks of hyperplane classes
under certain projections represent multisections to these genus-one
fibrations. We determine the degrees of these multisections by computing the
intersection numbers with fiber classes. As a result, we deduce the discrete
gauge symmetries that arise in F-theory compactifications. This method applies
to various Calabi-Yau genus-one fibrations.Comment: 29 pages. Some clarifications, updated acknowledgments, added
reference
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