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Exchange algebra and the Drinfeld-Sokolov theorem
Authors:O. Babelon  F. Toppan  L. Bonora
Affiliation:(1) Laboratoire de Physique Théorique et Hautes Energies, Université Pierret et Marie Curie, Tour 16 1er Etage, 4 Place Jussieu, F-75252 Paris Cedex 05, France;(2) International School for Advanced Studies (SISSA/ISAS), Strada Costiera 11, I-34014 Trieste, Italy;(3) Sezione di Trieste, INFN, I-34014 Trieste, Italy
Abstract:We analyse the relation between the exchange algebra and the separation of the chiralities in classical Toda field theory. We show that there exists a conformally covariant Bloch wave basis such that the two chiralities commute. In terms of this basis we then reconstruct the periodic and local solution of Toda field theory.Work supported by Fondazione Angelo Della Riccia
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