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On gauge-equivalent formulations of N=4 SKdV hierarchy

E. Ivanov
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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.

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BibTeXRIS

E. Ivanov. 1998-02-26. On gauge-equivalent formulations of N=4 SKdV hierarchy. https://doi.org/10.1142/s021773239800303x

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