Factorizable ribbon quantum groups in logarithmic conformal field theories
High Energy Physics - Theory
2008-11-26 v2 Quantum Algebra
Abstract
We review the properties of quantum groups occurring as Kazhdan--Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quasitriangular but are factorizable and have a ribbon structure; the modular group representation on their center coincides with the representation on generalized characters of the chiral algebra in logarithmic conformal field models.
Keywords
Cite
@article{arxiv.0705.4267,
title = {Factorizable ribbon quantum groups in logarithmic conformal field theories},
author = {AM Semikhatov},
journal= {arXiv preprint arXiv:0705.4267},
year = {2008}
}