Diagonal quantum Bianchi type IX models in N=1 supergravity

Details Diagonal quantum Bianchi type IX models in N=1 supergravity Diagonal quantum Bianchi type IX models in N=1 supergravity

1996-10-24

arxiv.org/abs/gr-qc/9610054v1

Class.Quant.Grav. 13 (1996) 3151-3162

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

plain LaTex, 17 pages, accepted for publication in Classical Quantum Gravity

Scientific paper

10.1088/0264-9381/13/12/006

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 supersymmetry 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.

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