论文标题
六维f理论的仪表组的类型在有理椭圆形的双盖3倍上
Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
论文作者
论文摘要
在这项研究中，我们分析了六维$ n = 1 $ f理论模型的量规组。我们通过应用以前的研究中讨论的方法对1/2 calabi-yau 3倍的奇异性类型进行分类，构建具有各种奇异性类型的椭圆形的Calabi-yau，具有各种奇异性类型的3倍，具有各种奇异性类型。在构建的calabi-yau 3倍上以六维的F理论形成1到三个U（1）因子。推断出与六维F理论中非亚伯仪群因子相对应的3倍构建的Calabi-Yau的奇异性类型。在这项工作中构建的3倍Calabi-yau的奇异性类型包括$ a $ - 和$ d $ type的奇异点。
In this study, we analyze gauge groups in six-dimensional $N=1$ F-theory models. We construct elliptic Calabi-Yau 3-folds possessing various singularity types as double covers of "1/2 Calabi-Yau 3-folds", a class of rational elliptic 3-folds, by applying the method discussed in a previous study to classify the singularity types of the 1/2 Calabi-Yau 3-folds. One to three U(1) factors are formed in six-dimensional F-theory on the constructed Calabi-Yau 3-folds. The singularity types of the constructed Calabi-Yau 3-folds corresponding to the non-Abelian gauge group factors in six-dimensional F-theory are deduced. The singularity types of the Calabi-Yau 3-folds constructed in this work consist of $A$- and $D$-type singularities.
