New Nonlocal Charges in SUSY Integrable Models

Details New Nonlocal Charges in SUSY Integrable Models New Nonlocal Charges in SUSY Integrable Models

2000-04-19

arxiv.org/abs/nlin/0004034v1

Phys.Lett. A274 (2000) 30-36

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages (LaTex)

Scientific paper

10.1016/S0375-9601(00)00523-5

In this letter, we study systematically the general properties of the $B$-extension of any integrable model. In addition to discussing the general properties of Hamiltonians, Hamiltonian structures etc, we also clarify the origin of "exotic" charges in such models. We show that, in such models, there exist at least two sets of non-local conserved charges (and more if $N>1$ supersymmetry is present) and that the "exotic" charges are part of this non-local charge hierarchy. The construction of these non-local charges from the Lax operator is explained.

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