Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Yu, Feng |
Title |
On the Kadomtsev-Petviashvili hierarchy, Ŵ∞ algebra, and conformal SL(2,R)/U(1) model. II. The quantum case |
Date |
1993 |
Description |
This article is devoted to constructing a quantum version of the famous Kadomtsev-Petviashvili (KP) hierarchy by deforming its second Hamiltonian structure, namely, the nonlinear W, algebra. This is achieved bx quantizing the conformal noncompact SL(2,R) k/ U(1) coset model, in which W, appears as a hidden current algebra. For the quantum W, algebra at level k= 1, an infinite set of commuting quantum charges in explicit and closed form was successfully constructed. Using them, a completely integrable quantum KP hierarchy is constructed in the Hamiltonian form. A two-boson realization of the quantum W∞, currents has played a crucial role in this exploration. |
Type |
Text |
Publisher |
American Institute of Physics (AIP) |
Journal Title |
Journal of Mathematical Physics |
Volume |
34 |
Issue |
12 |
First Page |
5872 |
Last Page |
5896 |
DOI |
10.1063/1.530287 |
citatation_issn |
222488 |
Subject |
Kadomtsev-Petviashvili hierarchy; Quantum charges; W-algebras |
Subject LCSH |
Quantum theory -- Mathematics; Mathematical physics |
Language |
eng |
Bibliographic Citation |
Yu, F., & Wu, Y.-S. (1993). On the Kadomtsev-Petviashvili hierarchy, Ŵ∞ algebra, and conformal SL(2,R)/U(1) model. II. The quantum case. Journal of Mathematical Physics, 34(12), 5872-96. |
Rights Management |
(c)American Institute of Physics. The following article appeared in Yu, F., & Wu, Y.-S., Journal of Mathematical Physics, 34(12), 1993 and may be found at http://dx.doi.org/10.1063/1.530287 |
Format Medium |
application/pdf |
Format Extent |
1,606,347 bytes |
Identifier |
ir-main,9468 |
ARK |
ark:/87278/s64x5sdv |
Setname |
ir_uspace |
ID |
706802 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s64x5sdv |