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Article

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

Journal of Mathematical Sciences. 1996. Vol. 235. P. 295-303.
Takebe T., Takasaki K.

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->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.