On the spectrum of Dehn twists in quantum Teichmuller theory
Quantum Algebra
2017-08-23 v1 High Energy Physics - Theory
Geometric Topology
Abstract
The operator realizing a Dehn twist in quantum Teichmuller theory is diagonalized and continuous spectrum is obtained. This result is in agreement with the expected spectrum of conformal weights in quantum Liouville theory at c>1. The completeness condition of the eigenvectors includes the integration measure which appeared in the representation theoretic approach to quantum Liouville theory by Ponsot and Teschner. The underlying quantum group structure is also revealed.
Keywords
Cite
@article{arxiv.math/0008148,
title = {On the spectrum of Dehn twists in quantum Teichmuller theory},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:math/0008148},
year = {2017}
}
Comments
13 pages,8 figures,LaTeX2e