Classification of three generation models by orbifolding magnetized $T^2 \times T^2$

Autor: Hoshiya, Kouki, Kikuchi, Shota, Kobayashi, Tatsuo, Ogawa, Yuya, Uchida, Hikaru
Rok vydání: 2020
Předmět:
Zdroj: Prog Theor Exp Phys (2021)
Druh dokumentu: Working Paper
DOI: 10.1093/ptep/ptab024
Popis: 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.
Comment: 31 pages
Databáze: arXiv