Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section

作者：Kimura Yusuke

来源：The Journal of High Energy Physics, 2017, 2017(4): 168.

DOI：10.1007/JHEP04(2017)168

• Differential and Algebraic Geometry
• F-Theory
• Gauge Symmetry
• Superstring Vacua

We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau 4-folds using Fano manifolds, cyclic 3-fold covers of Fano 4-folds, and Segre embeddings of products of projective spaces. Discrete Z(5), Z(4), Z(3) and Z(2) symmetries arise in these constructions. We introduce a general method to obtain multisections for several constructions of genus-one fibered Calabi-Yau manifolds. The pullbacks of hyperplane classes under certain projections represent multisections to these genus-one fibrations. We determine the degrees of these multisections by computing the intersection numbers with fiber classes. As a result, we deduce the discrete gauge symmetries that arise in F-theory compactifications. This method applies to various Calabi-Yau genus-one fibrations.

• 出版日期2017-4-28