W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies

Details W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies

1991-11-18

arxiv.org/abs/hep-th/9111032v1

Phys.Lett. B276 (1992) 311-317

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(92)90324-W

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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