Work

Polyakov conjecture and 2+1 dimensional gravity

Year: 2001
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2014255013
Cites: 3
Cited by: 2
Related to: 10