On the KP Hierarchy, W∞ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases
Abstract
We give a unified description of our recent results on the the inter-relationship between the integrable infinite KP hierarchy, nonlinear W∞ current algebra and conformal noncompact SL(2,R)/U(1) coset model both at the classical and quantum levels. In particular, we present the construction of a quantum version of the KP hierarchy by deforming the second KP Hamiltonian structure through quantizing the SL(2,R)k/U(1) model and constructing an infinite set of commuting quantum W∞ charges (at least at k=1).
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