学術雑誌論文 Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section

Kimura, Yusuke

20172017-04 , Springer Verlag
ISSN:1029-8479
内容記述
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 ℤ5, ℤ4, ℤ3 and ℤ2 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.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/226305/1/JHEP04%282017%29168.pdf

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