Minimal Family Unification

Abstract

Absract It is proposed that there exist, within a new $SU(2{)}^{{}^{\prime }}$, a gauged discrete group $Q_6$ (the order 12 double dihedral group) acting as a family symmetry. This nonabelian finite group can explain hierarchical features of families, using an assignment for quarks and leptons dictated by the requirements of anomaly cancellation and of no additional quarks.

10 pages, IFP-701-UNC;VAND-TH-94-6

References in corpus (4)

• Planck-Scale Physics and the Peccei-Quinn Mechanism
• Solutions to the strong CP problem in a world with gravity
• Flavor Unification and Discrete Nonabelian Symmetries
• Dynkin Diagrams of ${CP}^1$ Orbifolds

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• Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
• Classification of Conformality Models Based on Nonabelian Orbifolds
• Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)
• The Cabibbo Angle in a Supersymmetric D14 Model
• Desperately Seeking Supersymmetry [SUSY]
• Dicyclic Horizontal Symmetry and Supersymmetric Grand Unification
• Quark Mass Textures Within a Finite Non-Abelian Dicyclic Group
• Non-Abelian Discrete Flavor Symmetries
• Flavor ``Conservation'' and Hierarchy in TeV-scale Supersymmetric Standard Model
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Universality and Critical Phenomena in String Defect Statistics
• Discrete Anomalies of Binary Groups
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Neutrino mass matrix with U(2) flavor symmetry and neutrino oscillations
• Large Top Quark Yukawa Coupling and Horizontal Symmetries
• Neutrinos and Electromagnetic Gauge Invariance
• Quarks, Squarks and Textures