On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super algebra. It is shown that the Poisson algebra associated to the second Hamiltonian structure for the resulted hierarchy contains the N=2 super Virasoro algebra as a proper subalgebra. The simplest cases are discussed in detail. In particular, it is proved that the supersymmetric two-boson hierarchy is one of N=2 supersymmetric KdV hierarchies. Also, a Lax operator is supplied for one of N=2 supersymmetric Boussinesq hierarchies.
Keywords
Cite
@article{arxiv.solv-int/9708005,
title = {On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra},
author = {Q. P. Liu},
journal= {arXiv preprint arXiv:solv-int/9708005},
year = {2009}
}
Comments
11 pages, AMS-LaTex, to appear in Phys. Lett. A