Supersymmetry and the KdV equations for integrable hierarchies with a half-integer gradation

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2004-01-12

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Aratyn, H.
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]

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Supersymmetry is formulated for integrable models based on the sl(2 1) loop algebra endowed with a principal gradation. The symmetry transformations which have half-integer grades generate supersymmetry. The sl(2 1) loop algebra leads to N=2 supersymmetric mKdV and sinh-Gordon equations. The corresponding N=1 mKdV and sinh-Gordon equations are obtained via reduction induced by twisted automorphism. Our method allows for a description of a non-local symmetry structure of supersymmetric integrable models. © 2003 Elsevier B.V. All rights reserved.

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Nuclear Physics B, v. 676, n. 3, p. 537-571, 2004.