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

Abstract

We study orbifolding by the ${\mathbb{Z}}_2^{(\mathrm{per})}$ permutaion of $T_1^2\times T_2^2$ with magnetic fluxes and its twisted orbifolds. We classify the possible three generation models which lead to non-vanishing Yukawa couplings on the magnetized $T_1^2\times T_2^2$ and orbifolds including the ${\mathbb{Z}}_2^{(\mathrm{per})}$ permutation and ${\mathbb{Z}}_2^{(\mathrm{t})}$ 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.

31 pages

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Cited by in corpus (2)

• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Three-generation solutions of equations of motion in heterotic supergravity