Constants of the Motion and the Quantum Modular Group in (2+1) - Dimensional Gravity

V. Moncrief; J. E. Nelson

Constants of the Motion and the Quantum Modular Group in (2+1) - Dimensional Gravity

General Relativity and Quantum Cosmology 2007-05-23 v1

Authors: V. Moncrief , J. E. Nelson

Abstract

Constants of motion are calculated for 2+1 dimensional gravity with topology R \times T^2 and negative cosmological constant. Certain linear combinations of them satisfy the anti - de Sitter algebra so(2,2) in either ADM or holonomy variables. Quantisation is straightforward in terms of the holonomy parameters, and the modular group is generated by these conserved quantities. On inclusion of the Hamiltonian three new global constants are derived and the quantum algebra extends to the conformal algebra so(2,3).

Keywords

2+1 dimensional gravity constants of motion modular group anti-de Sitter algebra holonomy cosmological constant

Cite

@article{arxiv.gr-qc/9710131,
  title  = {Constants of the Motion and the Quantum Modular Group in (2+1) - Dimensional Gravity},
  author = {V. Moncrief and J. E. Nelson},
  journal= {arXiv preprint arXiv:gr-qc/9710131},
  year   = {2007}
}

Comments

4 pages Latex, uses mprocl.sty. Talk given in the Canonical Quantum Gravity session at the Eighth Marcel Grossmann meeting. Jerusalem, June 1997

Constants of the Motion and the Quantum Modular Group in (2+1) - Dimensional Gravity

Abstract

Keywords

Cite

Comments

Related papers