W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies
classification
✦ hep-th
keywords
hierarchiesw-algebrad-sokolovdrinfelgeneralisedsymmetriesassociatedboussinesque
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Using the zero-curvature formulation, it is shown that W-algebra transformations are symmetries of corresponding generalised Drinfel'd-Sokolov hierarchies. This result is illustrated with the examples of the KdV and Boussinesque hierarchies, and the hierarchy associated to the Polyakov-Bershadsky W-algebra.
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