On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases
High Energy Physics - Theory
2007-05-23 v1
Abstract
We give a unified description of our recent results on the the inter-relationship between the integrable infinite KP hierarchy, nonlinear current algebra and conformal noncompact 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 model and constructing an infinite set of commuting quantum charges (at least at =1).
Keywords
Cite
@article{arxiv.hep-th/9210162,
title = {On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases},
author = {Feng Yu and Yong-Shi Wu},
journal= {arXiv preprint arXiv:hep-th/9210162},
year = {2007}
}
Comments
(Invited talk given the second at the XXI International Conference on Differential Geometric Methods in Theoretical Physics, Nankai Institute of Mathematics, Tianjin, China; June 5-9, 1992; to appear in Proceedings.), 12p, Latex file