Back to Basics?... or How can supersymmetry be used in simple quantum cosmological model
Abstract
Description
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, $Ψ$, 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 $Ψ$ used in this paper is constrasted with the more general framework of R. Graham and A. Csordás.
6 pages; Communication presented at the First Mexican School in Gravitation and Mathematical Physics, Guanajuato, Mexico, December 12-16, 1994; TeX macro for table at the end of file
6 pages; Communication presented at the First Mexican School in Gravitation and Mathematical Physics, Guanajuato, Mexico, December 12-16, 1994; TeX macro for table at the end of file