Free Field Appoach to String Theory on AdS_3
Abstract
We discuss the correlation functions of the SL(2,C)/SU(2) WZW model, or the CFT on the Euclidean AdS_3. We argue that their calculation is reduced to that of a free theory by taking into account the renormalization and integrating out a certain zero-mode, which is an analog of the zero-mode integration in Liouville theory. Based on the resultant free field picture, we give a simple prescription for calculating the correlation functions. The known exact two- and three-point functions of generic primary fields are correctly obtained, including numerical factors. We also obtain some four-point functions of primaries by solving the Knizhnik-Zamolodchikov equation, and verify that our prescription indeed gives them.
Keywords
Cite
@article{arxiv.hep-th/0009107,
title = {Free Field Appoach to String Theory on AdS_3},
author = {Kazuo Hosomichi and Kazumi Okuyama and Yuji Satoh},
journal= {arXiv preprint arXiv:hep-th/0009107},
year = {2009}
}
Comments
LaTeX, 16 pages, version to appear in Nucl.Phys.B