Standard(-like) Model from an SO(12) Grand Unified Theory in six-dimensions with $S_2$ extra-space

Abstract

We analyze a gauge-Higgs unification model which is based on a gauge theory defined on a six-dimensional spacetime with an $S^2$ extra-space. We impose a symmetry condition for a gauge field and non-trivial boundary conditions of the $S^2$. We provide the scheme for constructing a four-dimensional theory from the six-dimensional gauge theory under these conditions. We then construct a concrete model based on an SO(12) gauge theory with fermions which lie in a 32 representation of SO(12), under the scheme. This model leads to a Standard-Model(-like) gauge theory which has gauge symmetry SU(3) $\times$ SU(2)${}_L$ $\times$ U(1)${}_Y$($\times$ U(1)${}^2$) and one generation of SM fermions, in four-dimensions. The Higgs sector of the model is also analyzed, and it is shown that the electroweak symmetry breaking and the prediction of W-boson and Higgs-boson masses are obtained.

18 pages

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• Three family unification in higher dimensional models
• Model building by coset space dimensional reduction in eight-dimensions
• One loop radiative correction to Kaluza-Klein masses in $S^2/Z_2$ universal extra dimensional model
• $USp(32)$ Special Grand Unification
• Flavor Symmetry in Gauge-Higgs-Matter Unified Orbifold GUTs