Non-Local Virasoro Symmetries in the mKdV Hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTex file

Scientific paper

10.1016/S0370-2693(98)01600-1

We generalize the dressing symmetry construction in mKdV hierarchy. This leads to non-local vector fields (expressed in terms of vertex operators) closing a Virasoro algebra. We argue that this algebra realization should play an important role in the study of 2D integrable field theories and in particular should be related to the Deformed Virasoro Algebra (DVA) when the construction is perturbed out of the critical theory.

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