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

Abstract

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.

arXiv comment12 pages, 4 figures

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Cited by in corpus (30)

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• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Twin Modular $S_4$ with $SU(5)$ GUT
• A_4xSU(5) SUSY GUT of Flavour in 8d
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• A new neutrino mass sum rule from inverse seesaw
• Non-Abelian Discrete Dark Matter
• Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries
• A4 Flavor Models in Split Seesaw Mechanism
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• Flavored Orbifold GUT - an SO(10) x S4 model
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• Super Flavorsymmetry with Multiple Higgs Doublets
• Lepton flavor models with discrete prediction of theta_{13}
• Flavour and CP predictions from orbifold compactification
• Modular flavour symmetry and orbifolds
• Exceptional Unification of Families and Forces
• Strong coupling, discrete symmetry and flavour
• Broken Symmetry as a Stabilizing Remnant
• Scotogenic majorana neutrino masses in a predictive orbifold theory of flavour
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• Scotogenic dark matter in an orbifold theory of flavor
• Emerging Internal Symmetries from Effective Spacetimes
• Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with ${\mathbb{T}}^6/\Delta (54)$