On the basis of local n = 2 conformal supersymmetry we have constructed the
supersymmetric action for a set of complex scalar supermultiplets in the F
RW model. This action corresponds to dilaton-axion and chiral components of
supergravity theory, and it is shown that the supersymmetric action of thi
s model has the form of a local version of the supersymmetric quantum mecha
nics with spontaneous breaking of supersymmetry when the vacuum energy is z
ero.