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

• 木村, 裕介

  Yukawa Institute for Theoretical PhysicsKyoto University

抄録

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 ℤ5, ℤ4, ℤ3 and ℤ2 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.

収録刊行物

• Journal of High Energy Physics

  Journal of High Energy Physics 2017 2017-04

  Springer Verlag

キーワード

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

詳細情報

• CRID: 1050282810825987584
• NII論文ID: 120006318879
• ISSN: 10298479
• HANDLE: 2433/226305
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles