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Quantization of Bianchi Models in N=1 Supergravity with a Cosmological Constant | | A.D.Y. Cheng
; P.D. D’Eath
; P.R.L.V. Moniz
; | | Date: |
13 Jul 1994 | | Journal: | Grav.Cosmol. 1 (1995) 12-21 | | Abstract: | We study the quantization of some cosmological models within the theory of N=1 supergravity with a positive cosmological constant. We find, by imposing the supersymmetry and Lorentz constraints, that there are no physical states in the models we have considered. For the k=1 Friedmann-Robertson-Walker model, where the fermionic degrees of freedom of the gravitino field are very restricted, we have found two bosonic quantum physical states, namely the wormhole and the Hartle-Hawking state.
From the point of view of perturbation theory, it seems that the gravitational and gravitino modes that are allowed to be excited in a supersymmetric Bianchi-IX model contribute in such a way to forbid any physical solutions of the quantum constraints. This suggests that in a complete perturbation expansion we would have to conclude that the full theory of N=1 supergravity with a non-zero cosmological constant should have no physical states. | | Source: | arXiv, gr-qc/9406047 | | Services: | Forum | Review | PDF | Favorites | |
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