The Supersymmetric Two Boson Hierarchy

Abstract

We summarize all the known properties of the supersymmetric integrable Two Boson equation. We present its nonstandard Lax formulation and tri-Hamiltonian structure, its reduction to the supersymmetric nonlinear Schrödinger equation and the local as well as nonlocal conserved charges. We also present the algebra of the conserved charges and identify its second Hamiltonian structure with the twisted $N=2$ superconformal algebra.

To appear in the proceedings of the Workshop in Theoretical and Mathematical Physics, CAM'95, University of Laval, Quebec, Canada, June 1995; 11 pages, Plain TeX