Global constants in (2+1)--dimensional gravity
General Relativity and Quantum Cosmology
2009-11-10 v1 High Energy Physics - Theory
Abstract
The extended conformal algebra (so)(2,3) of global, quantum, constants of motion in 2+1 dimensional gravity with topology R x T^2 and negative cosmological constant is reviewed. It is shown that the 10 global constants form a complete set by expressing them in terms of two commuting spinors and the Dirac gamma matrices. The spinor components are the globally constant holonomy parameters, and their respective spinor norms are their quantum commutators.
Keywords
Cite
@article{arxiv.gr-qc/0304040,
title = {Global constants in (2+1)--dimensional gravity},
author = {J. E. Nelson},
journal= {arXiv preprint arXiv:gr-qc/0304040},
year = {2009}
}
Comments
14 pages, to appear in Classical and Quantum Gravity, Spacetime Safari: Essays in Honor of Vincent Moncrief on the Classical Physics of Strong Gravitational Fields