Polyakov Conjecture and 2 + 1 Dimensional Gravity

Details Polyakov Conjecture and 2 + 1 Dimensional Gravity Polyakov Conjecture and 2 + 1 Dimensional Gravity

Jan 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003trso.conf..483c&link_type=abstract

2001: A RELATIVISTIC SPACETIME ODYSSEY Experiments & Theoretical Viewpoints on General Relativity and Quantum Gravity. Proceedin

Physics

Scientific paper

After briefly reviewing the hamiltonian approach to 2+1 dimensional gravity in absence of matter on closed universes, we consider 2+1 dimensional gravity coupled to point particles in an open universe. We show that the hamiltonian structure of the theory is the result of a conjecture put forward by Polyakov in a different context. A proof is given of such a conjecture. Finally we give the exact quantization of the two particle problem in open space.

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