Three-point functions and operator product expansion in the SL(2) conformal field theory
High Energy Physics - Theory
2009-11-07 v3
Abstract
In the SL(2) conformal field theory, we write down and analyze the analytic expression of the three-point functions of generic primary fields with definite SL(2) weights. Using these results, we discuss the operator product expansion in the SL(2,R) WZW model. We propose a prescription of the OPE, the classical limit of which is in precise agreement with the tensor products of the representations of SL(2,R).
Keywords
Cite
@article{arxiv.hep-th/0109059,
title = {Three-point functions and operator product expansion in the SL(2) conformal field theory},
author = {Yuji Satoh},
journal= {arXiv preprint arXiv:hep-th/0109059},
year = {2009}
}
Comments
21 pages, latex; (v3) discussions added, to appear in Nucl.Phys.B