CP VIOLATION IN SUSY LEFT-RIGHT MODELS

We analyze the minimal supersymmetric left-right model with non-renorm alixable interactions induced by higher scale physics and study its CP violating properties. We show that it: (i) solves the strong CP probl em; (ii) predicts the neutron electric dipole moment well within exper imental limits (thus solving the usual SUSY CP problem). In addition, it automatically conserves R-parity. The key points are that the parit y symmetry forces the Yukawa couplings to be hermitean, while supersym metry ensures that the scalar potential has a minimum with real higgs doublet vacuum expectation values. Gluino and B-L gaugino masses are a utomatically real. The observed CP violation in the kaon system comes, as in the Standard Model, from the Kobayashi-Maskawa-type phases. The se solutions ale valid for any value of the right-handed breaking scal e FAR, as long as the effective theory below M(R) has only two Higgs d ouble that couple fully to fermions. (i.e. the theory below M(R) is MS SM-like.) The potentially dangerous contributions from the SIT(a)(L) g augino one-loop diagram as well as from some higher dimensional terms to <(Theta)over bar> below M(R) can be avoided if the left-right symme try originates from a unified. theory such as SO(10) and we discuss ho w this embedding is achieved for the SO(10) case.