Exceptional Coset Spaces and Unification in Six Dimensions

Abstract

The coset spaces E${}_8$/SO(10)$\times$H${}_F$ allow complex structures which can account for three quark-lepton generations including right-handed neutrinos. We show that in the context of supersymmetric SO(10) gauge theories in 6 dimensions they also provide the Higgs fields which are needed to break the electroweak and $B-L$ gauge symmetries, and to generate small neutrino masses via the seesaw mechanism.

Comments: 10 pages, 1 figure