6D gauge-Higgs unification on T^2/Z_N with custodial symmetry

Abstract

We investigate the gauge-Higgs unification models compactified on T^2/Z_N that have the custodial symmetry. We select possible gauge groups, orbifolds and representations of the matter fermions that are consistent with the custodial symmetry, by means of the group theoretical analysis. The best candidate we found is 6D SU(3)_C x U(4) gauge theory on T^2/Z_3 and the third generation quarks are embedded into bulk fermions that are the symmetric traceless rank-2 tensor of SO(6).

arXiv comment38 pages, 1 table, a reference added

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Cited by in corpus (7)

• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• Gauge Coupling Unification in Gauge-Higgs Grand Unification
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
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• Dark matter in the $SO(5)\times U(1)$ gauge-Higgs unification
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