Back to Basics?... or How can supersymmetry be used in simple quantum cosmological model
Abstract
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 2 fermionic partners. The Lorentz invariant Ansatz for the wave function of the universe, , is taken to be as simple as possible in order to obtain 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 used in this paper is constrasted with the more general framework of R. Graham and A. Csord\'as.
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