Spontaneous breaking of supersymmetry in cosmological models and supergravity theories

In this work we have constructed the most general action for a set of compl ex homogeneous scalar supermultiplets interacting with the scale factor in the supersymmetric FRW model. It is shown that the local conformal time sup ersymmetry leads to a scalar field potential defined in terms of the Kahler potential and superpotential in the same combination as in supergravity (o r effective superstring) theories. This scalar field potential depends on a n arbitrary parameter a: which is not fixed by conformal time supersymmetry and induces the spontaneous breaking of supersymmetry in supergravity theo ries.