Spontaneous CP violation in SUSY SO(10)SO(10)

A scenario is suggested for spontaneous CP violation in non-SUSY and SUSY SO(10)SO(10). The idea is to have a scalar potential which generates spontaneously a phase, at the high scale, in the VEV that gives a mass to the RH neutrinos. As a possible realization the case of the minimal renormalizable SUSY SO(10)SO(10) is discussed in detail and one finds that a phase is induced in the CKM matrix. It is also pointed out that, in these models, the scales of Baryogenesis, Seesaw, Spontaneous CP violation and Spontaneous U(1)PQU(1)PQ breaking are all of the same order of magnitude.