Classification of three-generation models by orbifolding magnetized <i>T</i>2 × <i>T</i>2
Kouki Hoshiya, Shota Kikuchi, Tatsuo Kobayashi, Yuya Ogawa, Hikaru Uchida
Abstract
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.
Topics & Concepts
OrbifoldPhysicsYukawa potentialRealization (probability)Permutation (music)Mixing (physics)Symmetry (geometry)Theoretical physicsModular designParticle physicsEmbeddingRotational symmetryQuarkSymmetry breakingMirror symmetryStatistical physicsCoupling (piping)Rotation (mathematics)Electroweak interactionModular invarianceBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsQuantum Chromodynamics and Particle Interactions