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.

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

References in corpus (18)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Stringy origin of non-Abelian discrete flavor symmetries
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Massive modes in magnetized brane models
• Shifted orbifold models with magnetic flux
• Orbifold Family Unification
• Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions
• Realization of lepton masses and mixing angles from point interactions in an extra dimension
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Family number, Wilson line phases and hidden supersymmetry

Cited by in corpus (9)

• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Zero-mode counting formula and zeros in orbifold compactifications
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Toward Realistic Gauge-Higgs Grand Unification
• Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models
• Three-generation solutions of equations of motion in heterotic supergravity
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models