On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model
High Energy Physics - Theory
2009-10-30 v2
Abstract
A closed formula for the structure constants in the SL(2,C)/SU(2) WZNW model is derived by a method previously used in Liouville theory. With the help of a reflection amplitude that follows from the structure constants one obtains a proposal for the fusion rules from canonical quantization. Taken together these pieces of information allow an unambigous definition of any genus zero n-point function.
Keywords
Cite
@article{arxiv.hep-th/9712256,
title = {On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model},
author = {J. Teschner},
journal= {arXiv preprint arXiv:hep-th/9712256},
year = {2009}
}
Comments
25 pages, AMSLATEX2e, discussion of canonical quantization and fusion rules clarified, a few corrections