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タイトル: | Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section |
著者: | Kimura, Yusuke |
著者名の別形: | 木村, 裕介 |
キーワード: | Differential and Algebraic Geometry F-Theory Gauge Symmetry Superstring Vacua |
発行日: | Apr-2017 |
出版者: | Springer Verlag |
誌名: | Journal of High Energy Physics |
巻: | 2017 |
論文番号: | 168 |
抄録: | 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. |
著作権等: | © The Author(s) 2017 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/226305 |
DOI(出版社版): | 10.1007/JHEP04(2017)168 |
出現コレクション: | 学術雑誌掲載論文等 |
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