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arXiv · 2012.00751

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

Kouki Hoshiya·Shota Kikuchi·Tatsuo Kobayashi·Yuya Ogawa·Hikaru Uchida
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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.

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Kouki Hoshiya, Shota Kikuchi, Tatsuo Kobayashi, Yuya Ogawa, Hikaru Uchida. 2020-12-01. Classification of three generation models by orbifolding magnetized $T^2 \times T^2$. https://doi.org/10.1093/ptep/ptab024

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