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In the framework of the four dimensional heterotic superstring with free fermions we present a revised version of the rank eight Grand Unified String Theories (GUST) which contain the SU(3)_H-gauge family symmetry. We also develop some methods for building of corresponding string models. We explicitly construct GUST with gauge symmetry G = SU(5) \times U(1)\times (SU(3) \times U(1))_H and G = SO(10)\times (SU(3) \times U(1))_H or E(6)\times SU(3)_H \subset E(8) and consider the full massless spectrum for our string models. We consider for the observable gauge symmetry the diagonal subgroup G^{symm} of the rank 16 group G \times G \subset SO(16) \times SO(16) or \subset E(8) \times E(8). We discuss the possible fermion matter and Higgs sectors in these theories. We study renormalizable and nonrenormolizable contributions to the superpotential. There has to exist "superweak" light chiral matter (m_H^f < M_W) in GUST under consideration. The understanding of quark and lepton mass spectra and family mixing leaves a possibility for the existence of an unusually low mass breaking scale of the SU(3)_H family gauge symmetry (some TeV)

THE FERMION GENERATION PROBLEM IN THE GUST’S OF THE FREE WORLD SHEET FERMION FORMULATION