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$A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d · Around

2009

$A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d

Burrows, T. J., King, S. F.

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We propose a model in which $A_4$ Family Symmetry arises dynamically from a six dimensional orbifold SU(5) Supersymmetric Grand Unified Theory.

The SU(5) is broken to the Standard Model gauge group by a particular orbifold compactification leading to $A_4$ Family Symmetry, low energy Supersymmetry and Higgs doublet-triplet splitting.
The resulting four dimensional effective superpotential leads to a realistic description of quark and lepton masses and mixing angles including tri-bimaximal neutrino mixing and an inter-family mass hierarchy provided by a Froggatt-Nielsen mechanism.
This model is the first which combines the idea of orbifold GUTs with $A_4$ family symmetry resulting from the orbifolding.

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