Quantization of a FriedmannRobertsonWalker Model with Gauge Fields in N=1 Supergravity
Abstract
The purpose of this paper is to investigate a specific FRW model derived from the theory of N=1 supergravity with gauged supermatter. The supermatter content is restricted to a vector supermultiplet. This objective is particularly worthwhile. In fact, it was pointed in ref. ({\em Class. Quantum Grav. {\bf 12} {\rm (} {\rm 1995} {\rm )} {\rm 1343}}) that $\Psi = 0$ was the only allowed quantum state for N=1 supergravity with {\em generic} gauged supermatter subject to suitable FRW ansätze. The ansätze employed here for the physical variables was presented in the above reference. The corresponding Lorentz and supersymmetry quantum constraints are then derived. Nontrivial solutions are subsquently found. A noboundary solution is identified while another state may be interpreted as a wormhole solution. In addition, the usefulness and limitations of the ansätze are addressed. The implications of the ansätze with respect to the allowed quantum states are also discussed.
 Publication:

arXiv eprints
 Pub Date:
 April 1996
 arXiv:
 arXiv:grqc/9604045
 Bibcode:
 1996gr.qc.....4045M
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 19 pages, plain LaTeX file