Supersymmetric Drinfeld–Sokolov reduction

DOI10.1063/1.532532zbMath0927.37051arXivsolv-int/9802013OpenAlexW2083943843MaRDI QIDQ4701674

Laurent Gallot, Francois Delduc

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9802013

zbMATH Keywords

integrable hierarchiesDrinfeld-Sokolov constructionloop superalgebrassupersymmetry transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

Supersymmetric bi-Hamiltonian systems ⋮ Supersymmetry and the KdV equations for integrable hierarchies with a half-integer gradation ⋮ Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction ⋮ Structures of (supersymmetric) classical W-algebras ⋮ Superopers on supercurves ⋮ QUANTUM RESOLUTION OF THE NONLINEAR SUPER-SCHRÖDINGER EQUATION ⋮ Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ Quantization of the \(N=2\) supersymmetric KdV hierarchy ⋮ A Note on the Third Family of N = 2 Supersymmetric KdV Hierarchies

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• Generalized Drinfel'd-Sokolov hierarchies
• A sketch of Lie superalgebra theory
• On the biHamiltonian structure of the supersymmetric KdV hierarchies. A Lie superalgebraic approach
• Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
• On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach
• GELFAND–DIKII BRACKETS FOR NONSTANDARD SUPERSYMMETRIC SYSTEMS
• A new N=2 supersymmetric Korteweg–de Vries equation
• N=2 super W algebras and generalized N=2 super KdV heirarchies based on Lie superalgebras
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings
• GENERALIZED N=2 SUPER KdV HIERACHIES: LIE SUPERALGEBRAIC METHODS AND SCALAR SUPER LAX FORMALISM
• A NONSTANDARD SUPERSYMMETRIC KP HIERARCHY

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