The supersymmetric spectrum in SO(10) GUTs with gauge-mediated supersymmetry breaking

We investigate a large class of supersymmetric SO(10) grand unified theories within the framework of gauge-mediated supersymmetry breaking. We start with the most general messenger sector and imbedd the standard model gauge group into either SU(2)_L X SU(2)_R X U(1)_{B-L} or SU(2)_L X U(1)_{I_{3R}} X U(1)_{B-L}. We find that the conditions of the perturbativity of the gauge couplings and unification at the GUT scale severely restrict the messenger sector and lead to testable phenomenological predictions for the sparticle masses. One of the most notable features of the class of supersymmetric SO(10) grand unified theories introduced here is that among the many possible cases there are only a few consistent models, all of which share an essentially unique mass spectrum.