SUPERSYMMETRIC GENERAL BIANCHI TYPE-IX COSMOLOGY WITH A COSMOLOGICAL TERM

The covariant action of the supersymmetrically extended spatially homo geneous general Bianchi type IX cosmology is given including time repa rametrization invariance, inducing the hamiltonian constraint, and the constraints on the supercharges. A supersymmetric cosmological term i s also included. A quantization respecting the supersymmetry and the c onformal invariance of the superspace of geometrodynamics is given. Th e problem of the initial condition is naturally solved in this descrip tion by demanding that the wave function does not diverge if the aniso tropy variables are taken to infinity for fixed scale parameter.