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

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.

17 pages report DAMTP R93/35

References in corpus (2)

• Supersymmetric Bianchi class A models
• Physical states in $N=1$ supergravity

Cited by in corpus (16)

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• The exact cosmological solution to the dynamical equations for the Bianchi IX model
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