On the Integrable Hierarchies Associated With N=2 Super Wn Algebra
Abstract
A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super Wn 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.
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