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

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-$\frac{1}{2}$ 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.

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

References in corpus (2)

• Physical states in $N=1$ supergravity
• Nontrivial Fermion States in Supersymmetric Minisuperspace

Cited by in corpus (10)

• Semiclassical approximation to supersymmetric quantum gravity
• Supersymmetric Quantization of Anisotropic Scalar-Tensor Cosmologies
• Towards N=2 $SUSY$ Homogeneous Quantum Cosmology; Einstein--Yang--Mills systems
• Wave Function of a Supersymmetric FRW Model with Vector Fields
• The exact cosmological solution to the dynamical equations for the Bianchi IX model
• Quaternionic Quantization Principle in General Relativity and Supergravity
• The Case of the Missing Wormhole State
• Is there a problem with quantum wormhole states in N=1 Supergravity?
• Quantization of a Friedmann-Robertson-Walker Model with Gauge Fields in N=1 Supergravity
• Supersymmetric higher-derivative models in quantum cosmology