Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
Aratyn, H. ; Gomes, J. F. ; Zimerman, A. H.
arXiv, 0309099 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-09-09
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0309099,
     author = {Aratyn, H. and Gomes, J. F. and Zimerman, A. H.},
     title = {Supersymmetry and the KdV equations for Integrable Hierarchies with a
  Half-integer Gradation},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309099}
}

Aratyn, H.; Gomes, J. F.; Zimerman, A. H. Supersymmetry and the KdV equations for Integrable Hierarchies with a
  Half-integer Gradation. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309099/