On gauge-equivalent formulations of N=4 SKdV hierarchy

Details On gauge-equivalent formulations of N=4 SKdV hierarchy On gauge-equivalent formulations of N=4 SKdV hierarchy

1998-02-26

arxiv.org/abs/solv-int/9802018v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX

Scientific paper

10.1142/S021773239800303X

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.

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