An SU(6) gauge-Higgs unification model on T^2/Z4 with rank-reducing boundary conditions yields two Higgs doublets from the gauge field, quark unification in a 15, and a vacuum with small electroweak breaking via the Hosotani mechanism.
6D gauge-Higgs unification on T^2/Z_N with custodial symmetry
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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).
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Models with rank-reducing discrete boundary conditions on $T^2/{\mathbb Z}_4$
An SU(6) gauge-Higgs unification model on T^2/Z4 with rank-reducing boundary conditions yields two Higgs doublets from the gauge field, quark unification in a 15, and a vacuum with small electroweak breaking via the Hosotani mechanism.