We study orbifolding by the Z2(per) permutaion of T12×T22 with magnetic fluxes and its twisted orbifolds. We classify the possible three generation models which lead to non-vanishing Yukawa couplings on the magnetized T12×T22 and orbifolds including the Z2(per) permutation and Z2(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.
@article{arxiv.2012.00751,
title = {Classification of three generation models by orbifolding magnetized $T^2 \times T^2$},
author = {Kouki Hoshiya and Shota Kikuchi and Tatsuo Kobayashi and Yuya Ogawa and Hikaru Uchida},
journal= {arXiv preprint arXiv:2012.00751},
year = {2021}
}