Exact quantum state for N=1 supergravity
arXiv:gr-qc/9507008 · doi:10.1103/PhysRevD.52.R6656
Abstract
For N=1 supergravity in 3+1 dimensions we determine the graded algebra of the quantized Lorentz generators, supersymmetry generators, and diffeo-morphism and Hamiltonian generators and find that, at least formally, it closes in the chosen operator ordering. Following our recent conjecture and generalizing an ansatz for Bianchi-type models we proposed earlier we find an explicit exact quantum solution of all constraints in the metric representation.
10 pages, revtex