Quantization of the Bianchi type-IX model in supergravity with a cosmological constant

Details Quantization of the Bianchi type-IX model in supergravity with a cosmological constant Quantization of the Bianchi type-IX model in supergravity with a cosmological constant

1994-04-06

arxiv.org/abs/gr-qc/9404008v1

Phys.Rev. D49 (1994) 5246-5251

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages report DAMTP R93/35

Scientific paper

10.1103/PhysRevD.49.5246

Diagonal Bianchi type-IX models are studied in the quantum theory of $ N = 1 $ supergravity with a cosmological constant. It is shown, by imposing the supersymmetry and Lorentz quantum constraints, that there are no physical quantum states in this model. The $ k = + 1 $ Friedmann model in supergravity with cosmological constant does admit quantum states. However, the Bianchi type-IX model provides a better guide to the behaviour of a generic state, since more gravitino modes are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant. are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant.

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