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| Format: | Preprint |
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2020
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| Online Access: | https://arxiv.org/abs/2005.08802 |
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| _version_ | 1866913186091892736 |
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| author | Kimura, Yusuke |
| author_facet | Kimura, Yusuke |
| contents | In a previous study, we constructed a family of elliptic Calabi-Yau 4-folds possessing a geometric structure that allowed them to be split into a pair of rational elliptic 4-folds. In the present study, we introduce a method of classifying the singularity types of this class of elliptic Calabi-Yau 4-folds. In brief, we propose a method to classify the non-Abelian gauge groups formed in four-dimensional (4D) $N=1$ F-theory for this class of elliptic Calabi-Yau 4-folds. To demonstrate our method, we explicitly construct several elliptic Calabi-Yau 4-folds belonging to this class and study the 4D F-theory thereupon. These constructions include a 4D model with two U(1) factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_08802 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory Kimura, Yusuke High Energy Physics - Theory In a previous study, we constructed a family of elliptic Calabi-Yau 4-folds possessing a geometric structure that allowed them to be split into a pair of rational elliptic 4-folds. In the present study, we introduce a method of classifying the singularity types of this class of elliptic Calabi-Yau 4-folds. In brief, we propose a method to classify the non-Abelian gauge groups formed in four-dimensional (4D) $N=1$ F-theory for this class of elliptic Calabi-Yau 4-folds. To demonstrate our method, we explicitly construct several elliptic Calabi-Yau 4-folds belonging to this class and study the 4D F-theory thereupon. These constructions include a 4D model with two U(1) factors. |
| title | Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2005.08802 |