SUPERSYMMETRIC GENERAL BIANCHI TYPE-IX COSMOLOGY WITH A COSMOLOGICAL TERM

The covariant action of the supersymmetrically extended spatially homogeneous general Bianchi type IX cosmology is given including time reparametrization invariance, inducing the hamiltonian constraint, and the constraints on the supercharges. A supersymmetric cosmological term is also included. A quantization respecting the supersymmetry and the conformal invariance of the superspace of geometrodynamics is given. The problem of the initial condition is naturally solved in this description by demanding that the wave function does not diverge if the anisotropy variables are taken to infinity for fixed scale parameter.