Remarks on A_2 Toda Field Theory
High Energy Physics - Theory
2009-11-07 v1
Abstract
We study the Toda field theory with finite Lie algebras using an extension of the Goulian-Li technique. In this way, we show that, after integrating over the zero mode in the correlation functions of the exponential fields, the resulting correlation function resembles that of a free theory. Furthermore, it is shown that for some ratios of the charges of the exponential fields the four-point correlation functions which contain a degenerate field satisfy the Riemann ordinary differential equation. Using this fact and the crossing symmetry, we derive a set of functional equations for the structure constants of the A_2 Toda field theory.
Cite
@article{arxiv.hep-th/0106272,
title = {Remarks on A_2 Toda Field Theory},
author = {S. A. Apikyan and C. J. Efthimiou},
journal= {arXiv preprint arXiv:hep-th/0106272},
year = {2009}
}