The Supersymmetric Two Boson Hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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To appear in the proceedings of the Workshop in Theoretical and Mathematical Physics, CAM'95, University of Laval, Quebec, Can

Scientific paper

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 Schr\"odinger 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.

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