2d quantum dilaton gravity as/versus finite dimensional quantum mechanical systems

Abstract

I present the ``Chern--Simons'' formulation of generalized 2d dilaton gravity, summarize its Hamiltonian quantization (reduced phase space and Dirac quantization) and briefly discuss the statistical mechanical entropy of 2d black holes. Focus is put on the close relation to finite dimensional point particle systems.

4 pages, Latex; talk delivered at the 2nd Conference on Constrained Dynamics and Quantum Gravity, Santa Margherita Ligure, September 1996

Cited by in corpus (4)

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• Classical Solutions for Poisson Sigma Models on a Riemann surface
• Solutions of arbitrary topology in 1+1 gravity