论文标题
1/2 calabi-yau 4倍的奇异性和四维F理论的量规组的分类方案
Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory
论文作者
论文摘要
在先前的研究中，我们构建了一个拥有几何结构的椭圆形的卡拉比野家族，使它们可以分为一对4倍的理性椭圆形。在本研究中，我们介绍了一种对这类椭圆形的calabi-yau 4倍的奇异性类型进行分类的方法。简而言之，我们提出了一种分类的方法，以四维（4D）$ n = 1 $ f理论组成的非 - 亚伯仪表组为这类椭圆形的calabi-yau 4倍。为了证明我们的方法，我们明确地构建了属于该类别的几个椭圆形的calabi-yau，并研究了4D F理论。这些结构包括一个4D模型，具有两个U（1）因子。
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.
