N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace

Details N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace

1996-11-14

arxiv.org/abs/hep-th/9611108v2

Phys.Atom.Nucl. 61 (1998) 1990-1996; Yad.Fiz. 61 (1998) 2097-2103

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures, some misprints corrected

Scientific paper

A new integrable N=2 supersymmetric f-Toda mapping in (1|2) superspace, acting like the symmetry transformation of N=2 supersymmetric NLS hierarchy, is proposed. The first two Hamiltonian structures and the recursion operator connecting all evolution systems and Hamiltonian structures of the N=2 super-NLS hierarchy are constructed in explicit form using only invariance conditions with respect to the f-Toda mapping. A new representation for its Hamiltonians is observed.

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