Diagonal quantum Bianchi type IX models in N=1 supergravity

Abstract

We take the general quantum constraints of N=1 supergravity in the special case of a Bianchi metric, with gravitino fields constant in the invariant basis. We construct the most general possible wave function which solves the Lorentz constraints and study the supersymmetry constraints in the Bianchi Class A Models. For the Bianchi-IX cases, both the Hartle-Hawking state and wormhole state are found to exist in the middle fermion levels.

plain LaTex, 17 pages, accepted for publication in Classical Quantum Gravity

References in corpus (4)

• Supersymmetric minisuperspace with non-vanishing fermion number
• Quantization of the Bianchi type-IX model in supergravity with a cosmological constant
• Super-Minisuperspace and New Variables
• No Quantum Super-Minisuperspace with $\Lambda \ne 0$

Cited by in corpus (6)

• Quantum Supersymmetric Bianchi IX Cosmology
• The exact cosmological solution to the dynamical equations for the Bianchi IX model
• Supersymmetric quantum cosmology for Bianchi class A models
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Exact Solutions in Modified Gravity Models
• Quantum Supersymmetric Cosmological Billiards and their Hidden Kac-Moody Structure