On gauge-equivalent formulations of N=4 SKdV hierarchy
solv-int
2009-10-31 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We point out that the N=4 supersymmetric KdV hierarchy, when written through the prepotentials of the bosonic chiral and antichiral N=2 supercurrents, exhibits a freedom related to the possibility to choose different gauges for the prepotentials. In particular, this implies that the Lax operator for the N=4 SKdV system and the associated realization of N=4 supersymmetry obtained in solv-int/9802003 are reduced to the previously known ones. We give the prepotential form of the `small' N=4 superconformal algebra, the second hamiltonian structure algebra of the N=4 SKdV hierarchy, for two choices of gauge.
Keywords
Cite
@article{arxiv.solv-int/9802018,
title = {On gauge-equivalent formulations of N=4 SKdV hierarchy},
author = {E. Ivanov},
journal= {arXiv preprint arXiv:solv-int/9802018},
year = {2009}
}
Comments
7 pages, LaTeX