On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases
| dc.creator | Yu, Feng | |
| dc.creator | Wu, Yong-Shi | |
| dc.date | 1992-10-30 | |
| dc.date.accessioned | 2026-07-07T04:18:57Z | |
| dc.date.available | 2026-07-07T04:18:57Z | |
| dc.description | We give a unified description of our recent results on the the inter-relationship between the integrable infinite KP hierarchy, nonlinear $\hat{W}_{\infty}$ 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 $\hat{W}_{\infty}$ charges (at least at $k$=1). | |
| dc.description | (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 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9210162 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9210162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53402 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases | |
| dc.type | text |