Model building by coset space dimensional reduction in eight-dimensions

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.Comment: 7 page

Model building by coset space dimensional reduction scheme using eight-dimensional coset spaces

“…Thus, one must introduce fermions belonging to complex representations of the gauge group in the higher dimensions. In our previous research [35], we have investigated the smallest dimension, i.e., D = 8 and we have shown the possibility of building phenomenologically realistic models even for D = 4n + 2. The purpose of the present study is to investigate the case of D = 12, the next smallest dimension after D = 8.…”

Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era

“…The theory is part of a series of theories that can be considered with gauge group SO(n) compactified on a space of dimension n − 10 with fermions in the spinor representation 2 n 2 −1 (See table [1]). For example SO (12) in dimension six was considered in [4] [5] [6] and SO (14) in eight dimensions was considered in [7], SO (10) in four dimensions is the usual GUT model [8] and SO (8) in two dimensions is realized in noncritical heterotic string theory [9] . The UV complettion of the SO(16) × SO (16) model is the unique nonsupersymmetric tachyon free string theory in ten dimensions.…”