Complete loop quantization of a dimension 1+2 Lorentzian gravity theory
General Relativity and Quantum Cosmology
2012-05-31 v1 High Energy Physics - Theory
Abstract
De Sitter Chern-Simons gravity in D = 1 + 2 spacetime is known to possess an extension with a Barbero-Immirzi like parameter. We find a partial gauge fixing which leaves a compact residual gauge group, namely SU(2). The compacticity of the residual gauge group opens the way to the usual LQG quantization techniques. We recall the exemple of the LQG quantization of SU(2) CS theory with cylindrical space topology, which thus provides a complete LQG of a Lorentzian gravity model in 3-dimensional space-time.
Cite
@article{arxiv.1205.6633,
title = {Complete loop quantization of a dimension 1+2 Lorentzian gravity theory},
author = {Rodrigo M S Barbosa and Clisthenis P Constantinidis and Zui Oporto and Olivier Piguet},
journal= {arXiv preprint arXiv:1205.6633},
year = {2012}
}
Comments
Loops11 - Madrid - 2011 (4 pages, Latex)