How supersymmetry naturally suppresses Higgs-boson-mediated baryon-number violation in SU_{C}(4)×SU_{L}(2)×SU_{R}(2) and SO(10)

The supersymmetric versions of the left-right-symmetric ${\mathrm{SU}}_C\mathrm{}\left(4\right)\mathrm{}\times {\mathrm{SU}}_L\mathrm{}\left(2\right)\mathrm{}\times {\mathrm{SU}}_R\mathrm{}\left(2\right)\mathrm{}$ Pati-Salam theory and the grand unified SO(10) theory are studied. In the minimal versions of these models the requirement of soft or spontaneous breaking of supersymmetry, together with renormalizibility, leads to an accidental global U(1) symmetry which leads to baryon-number conservation. A necessary condition for this symmetry to be broken is the existence of fields which are antisymmetric in at least two ${\mathrm{SU}}_C\mathrm{}\left(4\right)\mathrm{}$ indices. The introduction of such fields may allow for observable neutron oscillation.