SUPER-MINISUPERSPACE AND NEW VARIABLES

Citation
R. Capovilla et J. Guven, SUPER-MINISUPERSPACE AND NEW VARIABLES, Classical and quantum gravity, 11(8), 1994, pp. 1961-1970
Citations number
30
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
11
Issue
8
Year of publication
1994
Pages
1961 - 1970
Database
ISI
SICI code
0264-9381(1994)11:8<1961:SANV>2.0.ZU;2-U
Abstract
We consider the specialization to spatially homogenous solutions of th e Jacobson formulation of N = 1 canonical supergravity in terms of Ash tekar's new variables. We find that the classical Poisson algebra of t he supersymmetry constraints is preserved by this specialization only for Bianchi type A models. The quantization of supersymmetric Bianchi type A models is carried out in the triad representation. We find the physical states of this quantum theory. Since we are missing a suitabl e inner product on these physical states, our results are only formal.