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arXiv 2005.08802hep-th
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1/2 Calabi-Yau 4-folds的奇点与四维F-theory中规范群的分类方案

Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory

Yusuke Kimura

备注：
17 pages
发表信息：
Adv.Theor.Math.Phys. 26(2022), 2697-2717
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AI总结：

本文提出了一种针对1/2 Calabi-Yau 4-folds奇点类型的分类方法，用于对四维$N=1$ F-theory中形成的非阿贝尔规范群进行分类，并通过显式构建包含两个U(1)因子的4D模型对该方法进行了演示。

摘要：

在先前的研究中，我们构建了一族椭圆Calabi-Yau 4-folds，其具备允许它们被拆分为一对有理椭圆4-folds的几何结构。在本研究中，我们引入了一种对该类椭圆Calabi-Yau 4-folds奇点类型进行分类的方法。简言之，我们提出了一种针对此类椭圆Calabi-Yau 4-folds，对在四维（4D）$N=1$ F-theory中形成的非阿贝尔规范群进行分类的方法。为演示我们的方法，我们显式构建了属于该类的若干椭圆Calabi-Yau 4-folds，并在此基础上研究了4D F-theory。这些构建包含一个具有两个U(1)因子的4D模型。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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