EXTENDED SUPERSYMMETRY FOR THE BIANCHI-TYPE COSMOLOGICAL MODELS

In this paper we propose a superfield description for all Bianchi-type cosmological models. The action is invariant under world-line local n = 4 supersymmetry with SU(2)_local ⊗ SU(2)_global internal symmetry. Due to the invariance of the action we obtain the constraints, which form a closed superalgebra of the n = 4 supersymmetric quantum mechanics. This procedure provides the inclusion of supermatter in a systematic way.