In the four dimensional free fermionic formulation of the heterotic string, a semirealistic SU(4) × SU(2) L × SU(2) R model is proposed with three fermion generations in (4, 2, 1) + (4, 1, 2) representations. The gauge symmetry of the model breaks to the standard gauge group using a higgs pair in the (4, 1, 2)+(4, 1, 2) representations. The massless spectrum includes exotic fractionally charged states with non -trivial transformation properties under part (Sp(4)) of the nonabelian 'hidden' symmetry. Finally there is a mirror pair in (4, 2, 1), (4, 2, 1) allowing the possibility for an identical running of g 4,L,R couplings between the string and SU(4) breaking scales. This is of crucial importance for a successful prediction of the weak mixing angle. Potential shortcomings and problems of the construction are analysed and possible solutions are discussed.
IOA-335/95 September 95A partially unified group which fulfills the basic requirements [5], is based on 1 more recent attempts[9, 10] to overcome this difficulty have led to SO(10) × SO(10) or SU (5) × SU (5) product groups, where the SO(10) or SU (5) are realized directly at level 1.