Wakimoto realizations of current and exchange algebras

Abstract

Working at the level of Poisson brackets, we describe the extension of the generalized Wakimoto realization of a simple Lie algebra valued current, J, to a corresponding realization of a group valued chiral primary field, b, that has diagonal monodromy and satisfies $Kb'=Jb$. The chiral WZNW field b is subject to a monodromy dependent exchange algebra, whose derivation is reviewed, too.

7 pages, LaTeX, talk at the 7th Colloquium on Quantum Groups and Integrable Systems, Prague, 18-20 June 1998; with some misprints corrected