Supersymmetric FRW model and the ground state of supergravity

In this work we construct the vacuum configuration of supergravity interact ing with homogeneous complex scalar matter fields. The corresponding config uration is of the FRW model invariant under the n = 2 local conformal time supersymmetry which is a subgroup of the four-dimensional spacetime supersy mmetry. We show that the potential of the scalar matter fields is a functio n of the Kahler potential and of the arbitrary parameter alpha. On the quan tum level our model for the alpha = 1 case is a specific supersymmetric qua ntum mechanics, which admits quantum states in supergravity, and the states with zero energy are described by the wave function of the FRW universe.