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.

arXiv comment26 pages

References in corpus (34)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• The Standard Model from extra dimensions
• Transmission of Supersymmetry Breaking from a 4-Dimensional Boundary
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Low-Energy Effective Lagrangian in Unified Theories with Non-Universal Supersymmetry Breaking Terms
• Number of Fermion Generations Derived from Anomaly Cancellation
• Boundary conditions as constraints
• Dynamical Rearrangement of Gauge Symmetry on the Orbifold S^1/Z_2
• Probing Symmetry-Breaking Pattern Using Sfermion Masses
• Unification of Gauge, Higgs and Matter in Extra Dimensions
• The Family Group in Grand Unified Theories
• On fermion mass hierarchy with extra dimensions
• Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and Leptons
• Classification and dynamics of equivalence classes in SU(N) gauge theory on the orbifold $S^1/Z_2$
• How to generate families of spinors
• Family Unification in Five and Six Dimensions
• On the origin of families of fermions and their mass matrices
• Anomalies and Fermion Content of Grand Unified Theories in Extra Dimensions
• Unity of elementary particles and forces in higher dimensions
• Shifted orbifold models with magnetic flux
• Coupling Unifications in Gauge-Higgs Unified Orbifold Models
• Orbifold Family Unification
• Orbifold Family Unification in SO(2N) Gauge Theory
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Equivalence Classes of Boundary Conditions in SU(N) Gauge Theory on 2-dimensional Orbifolds
• Yukawa Couplings in a Model with Gauge, Higgs and Matter Unification
• More about Superparticle Sum Rules in Grand Unified Theories
• Sfermion Mass Relations in Orbifold Family Unification
• Classification of Standard Model Particles in $E_6$ Orbifold Grand Unified Theories
• Family Unification via Quasi-Nambu-Goldstone Fermions in String Theory
• Superparticle Sum Rules in the presence of Hidden Sector Dynamics

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