Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds

Details Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds

2009-06-02

arxiv.org/abs/0906.0468v1

JHEP 0907:053,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures

Scientific paper

10.1088/1126-6708/2009/07/053

In [1] it was shown how the flavor symmetry A4 (or S4) can arise if the three fermion generations are taken to live on the fixed points of a specific 2-dimensional orbifold. The flavor symmetry is a remnant of the 6-dimensional Poincare symmetry, after it is broken down to the 4-dimensional Poincare symmetry through compactification via orbifolding. This raises the question if there are further non-abelian discrete symmetries that can arise in a similar setup. To this end, we generalize the discussion by considering all possible 2-dimensional orbifolds and the flavor symmetries that arise from them. The symmetries we obtain from these orbifolds are, in addition to S4 and A4, the groups D3, D4 and D6 \simeq D3 x Z2 which are all popular groups for flavored model building.

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