Polyakov conjecture and 2+1 dimensional gravity
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0112102,
title = {Polyakov conjecture and 2+1 dimensional gravity},
author = {L. Cantini and P. Menotti and D. Seminara},
journal= {arXiv preprint arXiv:hep-th/0112102},
year = {2007}
}
Comments
Talk by P. Menotti at the 25th Johns Hopkins Workshop, Florence September 3-5, 2001, 14 pages LaTex