Natural Flavour-Unifying GUTs: SU(8)

Abstract

Some implications of flavour unification in supersymmetric Grand Unified Theories are briefly reviewed. We argue that the gauge hierarchy phenomenon properly interpreted in terms of the natural missing VEV solution for the adjoint scalar in general SU(N) SUSY GUT could give insight into both of the basic features of low-energy physics accommodated in MSSM just as some strict colour-flavour (or colour-family) interrelation, so the SU(2) symmetry structure of weak interactions. There, apart from the ordinary triple matter of MSSM, just three families of the pseudo-Goldstone states appear in the minimal SU(8) theory to be of necessity detected at a TeV scale.