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

Understand

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.