Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation

@inproceedings{AratynSupersymmetryAT,
  title={Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation},
  author={H. Aratyn}
}
  • H. Aratyn
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 automor-phism. Our method allows for a description of a non-local symmetry structure of supersymmetric… CONTINUE READING

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