On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra

Details On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra

1997-08-14

arxiv.org/abs/solv-int/9708005v1

Phys. Lett. A, 235 (1997) 335

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, AMS-LaTex, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00638-5

A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super $W_n$ 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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