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arXiv · hep-th/0106272

Remarks on A_2 Toda Field Theory

S. A. Apikyan·C. J. Efthimiou
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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.

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S. A. Apikyan, C. J. Efthimiou. 2001-06-28. Remarks on A_2 Toda Field Theory. https://doi.org/10.1134/1.1455062

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