Quantum Cosmology of Generalized Two--Dimensional Dilaton Gravity Models

Abstract

The quantum cosmology of two-dimensional dilaton-gravity models is investigated. A class of models is mapped onto the constrained oscillator-ghost-oscillator model. A number of exact and approximate solutions to the corresponding Wheeler-DeWitt equation are presented. A wider class of minisuperspace models that can be solved in this fashion is identified. Supersymmetric extensions to the induced gravity theory and the bosonic string theory are then considered and closed-form solutions to the associated quantum constraints are derived. The possibility of applying the third-quantization procedure to two-dimensional dilaton-gravity is briefly discussed.

28 pages, latex

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• Supersymmetric Quantization of Anisotropic Scalar-Tensor Cosmologies
• The no-boundary measure in scalar-tensor gravity
• Cosmology of the Jackiw-Teitelboim model
• Shape Invariant Potentials in Supersymmetric Quantum Cosmology
• Novel Complete Non-compact Symmetries for the Wheeler-DeWitt Equation in a Wormhole Scalar Model and Axion-Dilaton String Cosmology
• New Exact Supersymmetric Wave Functions for a Massless Scalar Field and Axion-Dilaton String Cosmology in a FRWL Metric