Model building by Coset space dimensional reduction scheme using ten-dimensional coset spaces

TL;DR

This paper explores gauge-Higgs unification via coset space dimensional reduction starting from a 14D gauge theory with a 10D coset space, identifying 17 phenomenologically viable models with various GUT-like and Standard-Model-like structures.

Contribution

It systematically classifies models resulting from coset space dimensional reduction in a 14D gauge theory, revealing 17 viable models with specific gauge groups and fermion representations.

Findings

17 phenomenologically acceptable models identified

10 models yield SO(10) GUT-like structures

3 models yield SU(5) GUT-like structures

Abstract

We investigate the gauge-Higgs unification models within the scheme of the coset space dimensional reduction, beginning with a gauge theory in a fourteen-dimensional spacetime where extra-dimensional space has the structure of a ten-dimensional compact coset space. We found seventeen phenomenologically acceptable models through an exhaustive search for the candidates of the coset spaces, the gauge group in fourteen dimension, and fermion representation. Of the seventeen, ten models led to $\mathrm{SO}(10) (\times \mathrm{U}(1))$ GUT-like models after dimensional reduction, three models led to $\mathrm{SU}(5) \times \mathrm{U}(1)$ GUT-like models, and four to $\mathrm{SU}(3) \times \mathrm{SU}(2) \times \mathrm{U}(1) \times \mathrm{U}(1)$ Standard-Model-like models. The combinations of the coset space, the gauge group in the fourteen-dimensional spacetime, and the representation of the fermion contents of such models are listed.