Quantization of the Bianchi type IX model in N=1 supergravity in the presence of supermatter
May, 199542 pages
Published in:
- Int.J.Mod.Phys.A 11 (1996) 1763-1796
e-Print:
- gr-qc/9505048 [gr-qc]
Report number:
- DAMTP-R-95-21,
- DAMTP-R95-21
View in:
Citations per year
Abstract: (arXiv)
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- 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.Note:
- 43 pages, TeX (some minor font problems may occur, just press Return), TeX macro for table at the end of file
- supergravity
- space-time
- coupling: matter
- matter: coupling
- quantization
- Hamiltonian formalism
- differential geometry: Kaehler
- bibliography
References(46)
Figures(0)