Classification of three-generation models by orbifolding magnetized T2 × T2. (23rd February 2021)

• Record Type: Journal Article
• Authors: Hoshiya, Kouki; Kikuchi, Shota; Kobayashi, Tatsuo; Ogawa, Yuya; Uchida, Hikaru
• Is Part Of: Progress of theoretical and experimental physics. Volume 2021:Number 3(2021)
• Publication Date: 2021-02-23
• Subjects: B29 -- B41 -- B43 -- B55; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptab024
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: We study orbifolding by the $\mathbb{Z}_2^{\rm (per)}$ permutaion of $T^2_1 \times T^2_2$ with magnetic fluxes and its twisted orbifolds. We classify the possible three-generation models which lead to non-vanishing Yukawa couplings on the magnetized $T^2_1 \times T^2_2$ and orbifolds including the $\mathbb{Z}_2^{\rm (per)}$ permutation and $\mathbb{Z}_2^{\rm (t)}$ twist. We also study the modular symmetry on such orbifold models. As an illustrating model, we examine the realization of quark masses and mixing angles.