Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-02-11
Class.Quant.Grav.11:1961-1970,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, CIEA-GR-9401
Scientific paper
10.1088/0264-9381/11/8/004
We consider the specialization to spatially homogenous solutions of the Jacobson formulation of N=1 canonical supergravity in terms of Ashtekar's new variables. We find that the classical Poisson algebra of the 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 suitable inner product on these physical states, our results are only formal.
Capovilla Riccardo
Guven Jemal
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