The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy
High Energy Physics - Theory
2009-10-30 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
The first two Hamiltonian structures and the recursion operator connecting all evolution systems and Hamiltonian structures of the N=2 supersymmetric (n,m)-GNLS hierarchy are constructed in terms of N=2 superfields in two different superfield bases with local evolution equations. Their bosonic limits are studied in detail. New local and nonlocal bosonic and fermionic integrals both for the N=2 supersymmetric (n,m)-GNLS hierarchy and its bosonic counterparts are derived. As an example, in the n=1, m=1 case, the algebra and the symmetry transformations for some of them are worked out and a rich N=4 supersymmetry structure is uncovered.
Keywords
Cite
@article{arxiv.hep-th/9704130,
title = {The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy},
author = {L. Bonora and A. Sorin},
journal= {arXiv preprint arXiv:hep-th/9704130},
year = {2009}
}
Comments
12 pages, Latex