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.

arXiv comment31 pages

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Cited by in corpus (11)

• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau =\omega$
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Moduli inflation from modular flavor symmetries
• Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Finite modular axion and radiative moduli stabilization
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Three-generation solutions of equations of motion in heterotic supergravity
• Modular flavored dark matter