Classification of three-generation models on magnetized orbifolds

Abstract

We classify the combinations of parameters which lead three generations of quarks and leptons in the framework of magnetized twisted orbifolds on $T^2/Z_2$, $T^2/Z_3$, $T^2/Z_4$ and $T^2/Z_6$ with allowing nonzero discretized Wilson line phases and Scherk-Schwarz phases. We also analyze two actual examples with nonzero phases leading to one-pair Higgs and five-pair Higgses and discuss the difference from the results without nonzero phases studied previously.

arXiv comment28 pages (main body and references) + 65 pages (full list of classification), 22 tables (v1); typos corrected, problem in sentence fixed (v2)

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Cited by in corpus (48)

• Modular Flavor Symmetry on Magnetized Torus
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• CP-violating phase on magnetized toroidal orbifolds
• Flavour mixings in flux compactifications
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
• Inflation from periodic extra dimensions
• Flavour physics without flavour symmetries
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Wilson lines and UV sensitivity in magnetic compactifications
• Zero-mode counting formula and zeros in orbifold compactifications
• Majorana neutrino mass structure induced by rigid instatons on toroidal orbifold
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Brane-localized masses in magnetic compactifications
• Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Flavor structure in $SO(32)$ heterotic string theory
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori
• Magnetized orbifolds and localized flux
• Family Unification in Special Grand Unification
• Modular symmetry and zeros in magnetic compactifications
• Kähler moduli stabilization in semi-realistic magnetized orbifold models
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Supersymmetry in 6d Dirac Action
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• The implication of gauge-Higgs unification to the hierarchical fermion masses
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Active Dirac Neutrinos via $SU(2{)}_L$ Doublets in 5d
• 4D effective action from non-Abelian DBI action with magnetic flux background
• Predictions of $SU(9)$ orbifold family unification
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
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• Dynamical generation of quark/lepton mass hierarchy in an extra dimension
• Toward Realistic Gauge-Higgs Grand Unification
• Seesaw mechanism in magnetic compactifications
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
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• Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models
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• Three-generation solutions of equations of motion in heterotic supergravity
• Wavefunctions on $S^2$ with flux and branes
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models