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Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section
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Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section
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Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section
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Journal Article
Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section
2017
Overview
A
bstract
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
ℤ
5
,
ℤ
4
,
ℤ
3
and
ℤ
2
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
