2003/09/09 by H. Aratyn, J. F. Gomes, A. H. Zímerman +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Computer science #Geometry #Gradation #Integer (computer science) #Integrable system #Korteweg–de Vries equation #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #Quantum mechanics #Supergravity #Supersymmetry #Supersymmetry algebra #Symmetry (geometry) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1016/j.nuclphysb.2003.10.021
published as Nucl.Phys. B676 (2004) 537-571 · 35 pgs., latex
arxiv created 2003/09/09 · openalex publication_date 2003/11/15 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.