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 GGUT × U (1) with GGUT = SU (5), SO(10) and E6 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 GGUT = SO(10) and E6 models.

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

“…After the dimensional reduction, we can obtain a theory that contains the Higgs scalar with desired properties. One such possible dimensional reduction is the scheme of the coset space dimensional reduction (CSDR) [19][20][21][22][23][24][25], where the extra space is assumed to be a coset space S/R of a compact Lie group S by its subgroup R ⊂ S, and symmetry transformations of the extra space are identified with gauge transformations in higher dimensions. These constraints determine nicely the gauge group and particle content in the resulting four-dimensional theory.…”