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25 April 2024
 
  » arxiv » gr-qc/9404008

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Quantization of the Bianchi type-IX model in supergravity with a cosmological constant
A.D.Y. Cheng ; P.D. D’Eath ; P.R.L.V. Moniz ;
Date 6 Apr 1994
Journal Phys.Rev. D49 (1994) 5246-5251
Subject gr-qc
AbstractDiagonal 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.
Source arXiv, gr-qc/9404008
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