Axion and right-handed neutrino in the minimal SUSY SO(10) model

The connection between the axion and right-handed neutrinos is explored in the framework of the minimal SUSY SO(10) model. The former is related to the Peccei-Quinn (PQ) solution to the strong CP problem and the latter is to the light Majorana neutrinos through the see-saw mechanism. In this model, a relative phase between (10,1,3) (≡Δ-barR) part of 126-bar and (10-bar,1,3) (≡ΔR) part of 126 multiplets of SU(4) x SU(2)L x SU(2)R part of SO(10) becomes a physical degree of freedom identified with the axion. Then, the PQ symmetry breaking scale (ΛPQ) and the B-L symmetry breaking scale (ΛB-L) coincide through the VEV of Δ-barR. The scalar partner of the lightest right-handed neutrino is regarded as the inflaton, which gives a consistent density fluctuation for the CMB