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

TL;DR

This paper constructs a six-dimensional gauge-Higgs unification model based on SO(12) with an S^2 extra space, resulting in a Standard-Model-like theory with electroweak symmetry breaking and mass predictions.

Contribution

It presents a novel scheme for deriving a four-dimensional Standard-Model-like theory from a six-dimensional SO(12) gauge theory with specific boundary conditions and symmetry constraints.

Findings

Achieved a Standard-Model-like gauge symmetry in 4D

Demonstrated electroweak symmetry breaking within the model

Predicted W-boson and Higgs-boson masses

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.