The Paths of Unification In The GUST With The G x G Gauge Groups of E(8) x E(8)

Abstract

In the framework of the four dimensional heterotic superstring with free fermions we discuss the rank eight and/or sixteen Grand Unified String Theories (GUST) which contain the SU(3)H - gauge family symmetry. We explicitly investigate the paths of the unification in the GUST with gauge symmetry G x G = [SU(5) x U(1) x (SU(3) x U(1))H]2. We show that the GUSTs with the G x G gauge group allow to make the scale of unification to be consistent with the string scale MSU = gstring * 5 * 1017 GeV.

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