Dihedral Flavor Symmetry from Dimensional Deconstruction

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, 4 figures

Scientific paper

10.1016/j.physletb.2005.07.017

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.

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