Dihedral Flavor Symmetry from Dimensional Deconstruction

Abstract

Extra dimension deconstructed on a closed chain has naturally the symmetry of a regular polygon, the dihedral symmetry D_N. We assume that the fields are irreducible representations of the binary dihedral group Q_2N, which is the covering group of D_N. It is found that although the orbifold boundary conditions break the dihedral invariance explicitly, the Q_2N symmetry appears as an intact internal, global flavor symmetry at low energies. A concrete predictive model based on Q_6N$ with an odd N is given.

10 pages, 4 figures

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• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Hadronic EDMs induced by the strangeness and constraints on supersymmetric CP phases
• Quaternion Family Symmetry of Quarks and Leptons
• Neutrino Oscillations in Deconstructed Dimensions

Cited by in corpus (12)

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• The Unique Horizontal Symmetry of Leptons
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Neutrino Mass Matrix from S_4 Symmetry
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• An A4 model for lepton masses and mixings
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• The Cabibbo Angle in a Supersymmetric D14 Model
• D6 Family Symmetry and Cold Dark Matter at LHC
• Non-Abelian Discrete Flavor Symmetries
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups