Orbifold Family Unification on 6 Dimensions

Abstract

We study the possibility of family unification on the basis of SU(N) gauge theory on the 6-dimensional space-time, $M^4\times T^2/Z_N$. We obtain enormous numbers of models with three families of SU(5) matter multiplets and those with three families of the standard model multiplets, from a single massless Dirac fermion with a higher-dimensional representation of SU(N), through the orbifold breaking mechanism.

26 pages

References in corpus (8)

• Shifted orbifold models with magnetic flux
• Orbifold Family Unification
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Yukawa Couplings in a Model with Gauge, Higgs and Matter Unification
• More about Superparticle Sum Rules in Grand Unified Theories
• Classification of Standard Model Particles in $E_6$ Orbifold Grand Unified Theories
• Sfermion Mass Relations in Orbifold Family Unification
• Family Unification via Quasi-Nambu-Goldstone Fermions in String Theory

Cited by in corpus (13)

• $Z_N$ twisted orbifold models with magnetic flux
• Classification of three-generation models on magnetized orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• On the chirality of the SM and the fermion content of GUTs
• Family Unification in Special Grand Unification
• Orbifold family unification using vectorlike representation on six dimensions
• Yukawa interactions, flavor symmetry, and non-canonical Kähler potential
• Toward Realistic Gauge-Higgs Grand Unification
• Predictions of $SU(9)$ orbifold family unification
• Family number, Wilson line phases and hidden supersymmetry
• $L_{\mu }-L_{\tau }$ effects to quarks and leptons from flavor unification
• Family Unification in $SO(16)$ Grand Unification