Diagonal quantum Bianchi type IX models in \(N=1\) supergravity. (English) Zbl 0863.58097
Summary: We take the general quantum constraints of \(N=1\) supergravity in the special case of a Bianchi metric, with gravitino fields constant in the invariant basis. We construct the most general possible wave function which solves the Lorentz constraints and study the supersymmetric constraints in the Bianchi class \(A\) models. For the Bianchi-IX cases, both the Hartle-Hawking state and wormhole state are found to exist in the middle fermion levels.
MSC:
58Z05 | Applications of global analysis to the sciences |
83E50 | Supergravity |
83F05 | Relativistic cosmology |