On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory
Mathematical Physics
2013-02-20 v1 High Energy Physics - Theory
math.MP
Abstract
We exhibit direct relations between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U_q(sl(2,R)).
Keywords
Cite
@article{arxiv.1302.3454,
title = {On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory},
author = {I. Nidaiev and J. Teschner},
journal= {arXiv preprint arXiv:1302.3454},
year = {2013}
}
Comments
40 pages, 30 figures