Model building by coset space dimensional reduction in ten-dimensions with direct product gauge symmetry

TL;DR

This paper explores ten-dimensional gauge theories compactified on coset spaces with direct product gauge groups, deriving fermion and scalar representations that include all Standard Model particles and discussing Yukawa coupling generation.

Contribution

It provides a systematic analysis of gauge group embeddings and dimensional reduction in ten dimensions, leading to realistic particle content models.

Findings

Fermion and scalar representations compatible with Standard Model particles

Identification of gauge groups and embeddings suitable for coset space reduction

Discussion of Yukawa coupling generation mechanisms

Abstract

We investigate ten-dimensional gauge theories whose extra six-dimensional space is a compact coset space, $S/R$, and gauge group is a direct product of two Lie groups. We list up candidates of the gauge group and embeddings of $R$ into them. After dimensional reduction of the coset space,we find fermion and scalar representations of $G_{\mathrm{GUT}} \times U(1)$ with $G_{\mathrm{GUT}}=SU(5), SO(10)$ and $E_6$ which accomodate all of the standard model particles. We also discuss possibilities to generate distinct Yukawa couplings among the generations using representations with a different dimension for $G_{\mathrm{GUT}}=SO(10)$ and $E_6$ models.