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arxiv: gr-qc/9505002 · v1 · submitted 1995-05-02 · 🌀 gr-qc

Back to Basics?... or How can supersymmetry be used in simple quantum cosmological model

classification 🌀 gr-qc
keywords simpleansatzfunctiongeneralmodelsupermatterusedwave
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The general theory of N=1 supergravity with supermatter is applied to a Bianchi type IX diagonal model. The supermatter is constituted by a complex scalar field and its spin-$1\over 2$ fermionic partners. The Lorentz invariant Ansatz for the wave function of the universe, $\Psi$, is taken to be as simple as possible in order to obtain {\it new} solutions. The wave function has a simple form when the potential energy term is set to zero. However, neither the wormhole or the Hartle-Hawking state could be found. The Ansatz for $\Psi$ used in this paper is constrasted with the more general framework of R. Graham and A. Csord\'as.

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