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

Abstract

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.

11 pages, latex, no figures, some misprints corrected

Cited by in corpus (2)

• The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy
• The N=2 supersymmetric Toda lattice and matrix models