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arXiv · hep-th/0611192

Deformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation

H. Aratyn·J. F. Gomes·A. H. Zimerman
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Abstract

This paper is concerned with a link between central extensions of N=2 superconformal algebra and a supersymmetric two-component generalization of the Camassa--Holm equation. Deformations of superconformal algebra give rise to two compatible bracket structures. One of the bracket structures is derived from the central extension and admits a momentum operator which agrees with the Sobolev norm of a coadjoint orbit element. The momentum operator induces via Lenard relations a chain of conserved hamiltonians of the resulting supersymmetric Camassa-Holm hierarchy.

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H. Aratyn, J. F. Gomes, A. H. Zimerman. 2007-04-02. Deformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation. https://doi.org/10.1088/1751-8113%2F40%2F17%2F008

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