Research PapersNo Access

Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds

KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan

https://doi.org/10.1142/S0217751X21500275Cited by:1 (Source: Crossref)

Abstract

In this paper, 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.

Keywords:

PACS: 11.25.Mj

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