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We propose a simultaneous solution to the strong CP problem and the SUSYphase problem based on parity symmetry realized when the supersymmetricstandard model is embedded into a left-right symmetric framework at a scalenear 2 x 10^{16} GeV, as suggested by neutrino masses and gauge couplingunification. In this class of models, owing to parity, SUSY contributions tothe muon anomalous magnetic moment can be naturally large without conflictingwith the EDM of the electron and the neutron. The strong CP violation parameter\theta is zero at the tree level, also due to parity (P), but is induced due toP-violating effects below the unification scale. We estimate the induced \thetato be < 10^{-16}, if we adopt a constrained supersymmetric spectrum withuniversal scalar masses. In the more general SUSY breaking scenario, afterimposing flavor changing constraints, we find theta ~ (10^{-8}-10^{-10}), whichis compatible with, but not much below the present limit on neutron EDM. Wealso argue that potential non-perturbative corrections to \theta from quantumgravitational effects are not excessive in these models.Comment: 16 pages RevTeX, 2 figure

Solving the strongCPand the supersymmetry phase problems with parity symmetry