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

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

1995-05-29

arxiv.org/abs/gr-qc/9505048v1

Int.J.Mod.Phys. A11 (1996) 1763-1796

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

43 pages, TeX (some minor font problems may occur, just press Return), TeX macro for table at the end of file

Scientific paper

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 K\"ahler 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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