Quasi-classical limit of KP hierarchy, W-symmetries and free fermions

Details Quasi-classical limit of KP hierarchy, W-symmetries and free fermions Quasi-classical limit of KP hierarchy, W-symmetries and free fermions

1992-07-24

arxiv.org/abs/hep-th/9207081v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, KUCP-0050/92 (references are updated)

Scientific paper

This paper deals with the dispersionless KP hierarchy from the point of view of quasi-classical limit. Its Lax formalism, W-infinity symmetries and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar \to 0$. Free fermions and bosonized vertex operators play a key role in the description of W-infinity symmetries and general solutions, which is technically very similar to a recent free fermion formalism of $c=1$ matrix models.

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