Supersymmetry for integrable hierarchies on loop superalgebras
Abstract
An algebraic approach is employed to formulate N = 2 supersymmetry transformations in the context of integrable systems based on loop superalgebras \widehatsl(p+1,p), p \ge 1 , with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and LundRegge sectors. We derive the onesoliton solution for p = 1 which solves positive and negative evolution equations of the N = 2 supersymmetric model.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 October 2005
 DOI:
 10.1088/03054470/38/42/012
 arXiv:
 arXiv:hepth/0508008
 Bibcode:
 2005JPhA...38.9341A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 21 pages