Model building by coset space dimensional reduction in eight-dimensions

TL;DR

This paper explores gauge-Higgs unification in eight-dimensional models with compact coset spaces, identifying promising gauge groups after dimensional reduction that can incorporate the Standard Model.

Contribution

It systematically classifies gauge groups and matter representations arising from coset space dimensional reduction in eight-dimensional gauge-Higgs unification models.

Findings

Identifies SO(10) and extensions as viable gauge groups.

Provides fermion and scalar representations for these groups.

Shows potential for Standard Model embedding.

Abstract

We investigate gauge-Higgs unification models in eight-dimensional spacetime where extra-dimensional space has the structure of a four-dimensional compact coset space. The combinations of the coset space and the gauge group in the eight-dimensional spacetime of such models are listed. After the dimensional reduction of the coset space, we identified $\mathrm{SO}(10)$, $\mathrm{SO}(10) \times \mathrm{U}(1)$ and $\mathrm{SO}(10) \times \mathrm{U}(1) \times \mathrm{U}(1)$ as the possible gauge groups in the four-dimensional theory that can accomodate the Standard Model and thus is phenomenologically promising. Representations for fermions and scalars for these gauge groups are tabulated.