Gauge Unification In Six Dimensions

Abstract

We study the breaking of a supersymmetric SO(10) GUT in 6 dimensions by orbifold compactification. In 4 dimensions we obtain a N=1 supersymmetric theory with the standard model gauge group enlarged by an additional U(1) symmetry. The 4-dimensional gauge symmetry is obtained as intersection of the Pati-Salam and the Georgi-Glashow subgroups of SO(10), which appear as unbroken subgroups in the two 5 dimensional subspaces, respectively. The doublet-triplet splitting arises as in the recently discussed SU(5) GUTs in 5 dimensions.

Figures (1)

• Figure 1: The extended standard model gauge group G$_{SM'}$=SU(3)$\times$SU(2)$\times$U(1)$^2$ as intersection of the two symmetric subgroups of SO(10), G$_{GG}$ = SU(5)$\times$U(1) and G$_{PS}$ = SU(4)$\times$SU(2)$\times$SU(2).