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

DOI10.1016/j.nuclphysb.2003.10.021zbMath1089.81027arXivhep-th/0309099OpenAlexW2084553873MaRDI QIDQ1416987

J. F. Gomes, A. H. Zimerman, Henrik Aratyn

Publication date: 16 December 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309099

zbMATH Keywords

symmetry transformationsprincipal gradation\(sl(2| 1)\) loop algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Super-WZNW with reductions to supersymmetric and fermionic integrable models ⋮ Nonlinear superposition formula for SUSY SG/MKdV equations revisited ⋮ Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction ⋮ Thesl(2|1)⁽²⁾Gaudin magnet with diagonal boundary terms ⋮ Soliton solutions for the super mKdV and sinh-Gordon hierarchy ⋮ Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations ⋮ Integrability vs supersymmetry: Poisson structures of the Pohlmeyer reduction ⋮ The higher grading structure of the WKI hierarchy and the two-component short pulse equation

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