QUANTIZATION OF A LOCALLY SUPERSYMMETRIC FRIEDMANN MODEL IN THE PRESENCE OF SUPERMATTER

Abstract

The general theory of N=1 supergravity with supermatter is restricted to the special case of a k=+1 Friedmann minisuperspace model with complex scalar fields and fermionic partners. The different supermatter models are given by specifying a Kähler metric for the scalar fields. For the two-dimensional spherically symmetric and flat Kähler geometries new solutions for the quantum states are found. These are shown to have simple form. In particular, although they permit a Hartle-Hawking solution, they do not allow a wormhole state. The role of these solutions with regard to more general issues in supersymmetric quantum cosmology is also briefly discussed.