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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
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Abstract

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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A. D. Y. Cheng, P. D. D'Eath, P. R. L. V. Moniz. 1994-04-06. Quantization of the Bianchi type-IX model in supergravity with a cosmological constant. https://doi.org/10.1103/physrevd.49.5246

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