English

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

High Energy Physics - Theory 2008-02-03 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9611108,
  title  = {N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace},
  author = {V. B. Derjagin and A. N. Leznov and A. S. Sorin},
  journal= {arXiv preprint arXiv:hep-th/9611108},
  year   = {2008}
}

Comments

11 pages, latex, no figures, some misprints corrected