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Quantization of the Bianchi type-IX model in N=1 Supergravity in the Presence of Supermatter

P. V. Moniz
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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-$1\over 2$ fermionic partners. The Kähler geometry is chosen to be a two-dimensional flat one. The Lorentz invariant Ansatz for the wave function of the universe is taken to be as simple as possible in order to obtain {\it new} solutions. The set of differential equations derived from the quantum constraints are analysed in two different cases: if the supermatter terms include an analytical potential or not. In the latter the wave function is found to have a simple form.

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P. V. Moniz. 1995-05-29. Quantization of the Bianchi type-IX model in N=1 Supergravity in the Presence of Supermatter. https://doi.org/10.1142/s0217751x96000948

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