$n=4\mathrm{}$ supersymmetry for the FRW model

In this work we construct the $n=4\mathrm{}$ extended local conformal time supersymmetry for the Friedmann-Robertson-Walker (FRW) cosmological model. This is based on a superfield construction of the action, which is invariant under world-line local $n=4\mathrm{}$ supersymmetry with $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_{\mathrm{local}}\otimes \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_{\mathrm{global}}$ internal symmetry. It is shown that the supersymmetric action has the form of the localized (or superconformal) version of the action for $n=4\mathrm{}$ supersymmetric quantum mechanics. This superfield procedure provides a well defined scheme for including supermatter.