Supersymmetric Moyal-Lax Representations
High Energy Physics - Theory
2009-11-07 v1 Exactly Solvable and Integrable Systems
Abstract
The super Moyal-Lax representation and the super Moyal momentum algebra are introduced and the properties of simple and extended supersymmetric integrable models are systematically investigated. It is shown that, much like in the bosonic cases, the super Moyal-Lax equation can be interpreted as a Hamiltonian equation and can be derived from an action. Similarly, we show that the parameter of non-commutativity, in this case, is related to the central charge of the second Hamiltonian structure of the system. The super Moyal-Lax description allows us to go to the dispersionless limit of these models in a singular limit and we discuss some of the properties of such systems.
Cite
@article{arxiv.hep-th/0104191,
title = {Supersymmetric Moyal-Lax Representations},
author = {Ashok Das and Ziemowit Popowicz},
journal= {arXiv preprint arXiv:hep-th/0104191},
year = {2009}
}
Comments
16 pages