Abstract
The connection between Toda conformal field theories and three-dimensional topological gauge theories is considered. In the two-dimensional theory the correlation functions of chiral vertex operators are given a topological interpretation, by exploiting the fact that the Lax pair, which underlies the integrability of the theory, defines a flat two-dimensional connection. In this picture, the screening charges of the Coulomb gas formalism are simply encoded in the parallel transport of the connection.
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