Quantum states on supersymmetric minisuperspace with a cosmological constant.

Spatially homogeneous models in quantum supergravity with a nonvanishing cosmological constant are studied. A class of exact nontrivial solutions of the supersymmetry and Lorentz constraints is obtained in terms of the Chern-Simons action on the spatially homogeneous 3-manifold, both in Ashketar variables where the solution is explicit up to reality conditions, and, more concretely, in the tetrad-representation, where the solutions are ∗Permanent address: Research Institute for Solid State Physics, P.O. Box 49, H1525 Budapest Hungary