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

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.

14 pages; added local report number, added refference

References in corpus (4)

• On the consistency of coset space dimensional reduction
• SU(3) Family Gauge Symmetry and the Axion
• Coset Space Dimensional Reduction of Einstein--Yang--Mills theory
• Model building by Coset space dimensional reduction scheme using ten-dimensional coset spaces