Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions
solv-int
2009-10-31 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We present the Lax operator for the N=3 KdV hierarchy and consider its extensions. We also construct a new infinite family of N=2 supersymmetric hierarchies by exhibiting the corresponding super Lax operators. The new realization of N=4 supersymmetry on the two general N=2 superfields, bosonic spin 1 and fermionic spin 1/2, is discussed.
Keywords
Cite
@article{arxiv.solv-int/9802003,
title = {Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions},
author = {S. Krivonos and A. Pashnev and Z. Popowicz},
journal= {arXiv preprint arXiv:solv-int/9802003},
year = {2009}
}
Comments
8 pages, LaTex