Remarks on A
2 Toda theory |
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Authors: | S A Apikyan C J Efthimiou |
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Institution: | (1) Department of Theoretical Physics, Yerevan State University, 375049 Yerevan, Armenia;(2) Department of Physics, University of Central Florida, FL 32816 Orlando, USA |
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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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