On quantum group symmetries of conformal field theories
High Energy Physics - Theory
2007-05-23 v1
Abstract
The appearance of quantum groups in conformal field theories is traced back to the Poisson-Lie symmetries of the classical chiral theory. A geometric quantization of the classical theory deforms the Poisson-Lie symmetries to the quantum group ones. This elucidates the fundamental role of chiral symmetries that quantum groups play in conformal models. As a byproduct, one obtains a more geometric approach to the representation theory of quantum groups.
Keywords
Cite
@article{arxiv.hep-th/9109023,
title = {On quantum group symmetries of conformal field theories},
author = {Fernando Falceto and Krzysztof Gawedzki},
journal= {arXiv preprint arXiv:hep-th/9109023},
year = {2007}
}
Comments
15 pages