  In this paper we consider the gauge invariant third quantized model of
supersymmetric group field cosmology. The supersymmetric BRST invariance for
such theory in non-linear gauge is also analysed. The path integral formulation
to the case of a multiverse made up of homogeneous and isotropic spacetimes
filled with a perfect fluid is presented. The renormalizability for the
scattering of universes in multiverse are established with suitably constructed
master equations for connected diagrams and proper vertices. The Slavnov-Taylor
identities for this theory hold to all orders of radiative corrections.
