Extension of geodesic algebras to continuous genus
General Relativity and Quantum Cosmology
2009-11-11 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Using the Penner--Fock parameterization for Teichmuller spaces of Riemann surfaces with holes, we construct the string-like free-field representation of the Poisson and quantum algebras of geodesic functions in the continuous-genus limit. The mapping class group acts naturally in the obtained representation.
Keywords
Cite
@article{arxiv.gr-qc/0510119,
title = {Extension of geodesic algebras to continuous genus},
author = {L. Chekhov and J. E. Nelson and T. Regge},
journal= {arXiv preprint arXiv:gr-qc/0510119},
year = {2009}
}
Comments
16 pages, submitted to Lett.Math.Phys