On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model: II. The Quantum Case
High Energy Physics - Theory
2009-10-22 v1
Abstract
This paper is devoted to constructing a quantum version of the famous KP hierarchy, by deforming its second Hamiltonian structure, namely the nonlinear algebra. This is achieved by quantizing the conformal noncompact coset model, in which appears as a hidden current algebra. For the quantum algebra at level , we have succeeded in constructing an infinite set of commuting quantum charges in explicit and closed form. Using them a completely integrable quantum KP hierarchy is constructed in the Hamiltonian form. A two boson realization of the quantum currents has played a crucial role in this exploration.
Keywords
Cite
@article{arxiv.hep-th/9210118,
title = {On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model: II. The Quantum Case},
author = {Feng Yu and Yong-Shi Wu},
journal= {arXiv preprint arXiv:hep-th/9210118},
year = {2009}
}
Comments
33p