Properties of Nonlocal Charges in the Supersymmetric Two Boson Hierarchy

Details Properties of Nonlocal Charges in the Supersymmetric Two Boson Hierarchy Properties of Nonlocal Charges in the Supersymmetric Two Boson Hierarchy

1995-04-06

arxiv.org/abs/hep-th/9504030v1

Phys.Lett. B354 (1995) 307-314

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, plain TeX

Scientific paper

10.1016/0370-2693(95)00678-E

We obtain the conserved, nonlocal charges for the supersymmetric two boson hierarchy from fractional powers of its Lax operator. We show that these charges reduce to the ones of the supersymmetric KdV system under appropriate reduction. We study the algebra of the nonlocal, local and supersymmetry charges with respect to the first and the second Hamiltonian structures of the system and discuss how they close as a graded nonlinear cubic algebra.

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