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arXiv · hep-th/9410097

Centrally Extended W_{1+\infty} and the KP Hierarchy

Fernando Martinez-Moras·Javier Mas
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Abstract

It is well known that the centerless W_{1+\infty} algebra provides a hamiltonian structure for the KP hierarchy. In this letter we address the question whether the centerful version plays a similar rôle in any related integrable system. We find that, surprisingly enough, the centrally extended W_{1+\infty} algebra yields yet another Poisson structure for the same standard KP hierarchy. This is proven by explicit construction of the infinitely many new hamiltonians in closed form.

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Fernando Martinez-Moras, Javier Mas. 1994-10-20. Centrally Extended W_{1+\infty} and the KP Hierarchy. https://doi.org/10.1016/0370-2693(94)01518-h

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