Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-17
J.Phys.A40:4511-4528,2007
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 21 pages, version to appear in J. Phys. A
Scientific paper
10.1088/1751-8113/40/17/008
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.
Aratyn Henrik
Gomes J. F.
Zimerman A. H.
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