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 whose gauge group is a direct product of two Lie groups. We list 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(GUT)xU(1) with G(GUT)=SU(5), SO(10) and E-6, which accommodate all of the standard model particles. We also discuss possibilities to generate distinct Yukawa couplings among the generations using representations with different dimensions for G(GUT)=SO(10) and E-6 models.