Non-local conservation laws and flow equations for supersymmetric integrable hierarchies
High Energy Physics - Theory
2009-10-31 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
An infinite series of Grassmann-odd and Grassmann-even flow equations is defined for a class of supersymmetric integrable hierarchies associated with loop superalgebras. All these flows commute with the mutually commuting bosonic ones originally considered to define these hierarchies and, hence, provide extra fermionic and bosonic symmetries that include the built-in N=1 supersymmetry transformation. The corresponding non-local conserved quantities are also constructed. As an example, the particular case of the principal supersymmetric hierarchies associated with the affine superalgebras with a fermionic simple root system is discussed in detail.
Keywords
Cite
@article{arxiv.hep-th/9905103,
title = {Non-local conservation laws and flow equations for supersymmetric integrable hierarchies},
author = {Jens Ole Madsen and J. Luis Miramontes},
journal= {arXiv preprint arXiv:hep-th/9905103},
year = {2009}
}
Comments
36 pages, LaTeX file