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

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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.
Latex, 21 pages, version to appear in J. Phys. A

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High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/194804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0611192
 http://arxiv.org/abs/hep-th/0611192
 J.Phys.A40:4511-4528,2007
 doi:10.1088/1751-8113/40/17/008

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