Flavor unification in SU(8)

Abstract

Flavor unification is proposed in the SU(8) gauge group. This model imbeds the Georgi-Glashow S${\mathrm{U}}_{\mathrm{gg}}$(5) as a subgroup. It is necessary to modify Georgi's second postulate for grand unification so that the left-handed fermion representations are complex with respect to $\mathrm{S}{\mathrm{U}}_{c}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{S}{\mathrm{U}}_{W}(2)\ifmmode\times\else\texttimes\fi{}{\mathrm{U}}_{Y}(1)\ifmmode\times\else\texttimes\fi{}{\mathrm{U}}_{J}(1)$. There are three families of light quarks, one right-handed isospin-singlet quark with charge $\ensuremath{-}\frac{1}{3}$ three ordinary lepton families, and one lepton doublet without a right-handed partner.