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arXiv · hep-th/0112102

Polyakov conjecture and 2+1 dimensional gravity

L. Cantini·P. Menotti·D. Seminara
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Abstract

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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L. Cantini, P. Menotti, D. Seminara. 2001-12-12. Polyakov conjecture and 2+1 dimensional gravity. https://arxiv.org/abs/hep-th/0112102

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