N=4 super KdV hierarchy in N=4 and N=2 superspaces

DOI10.1063/1.531796zbMath0865.58028arXivhep-th/9510033OpenAlexW2011707175MaRDI QIDQ5284317

No author found.

Publication date: 17 July 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9510033

zbMATH Keywords

evolution equations\(N=2\) superspace\(N=4\) superspaceN=4 super KdV

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Supermanifolds and graded manifolds (58A50) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Higher spin Chern–Simons theory and the super Boussinesq hierarchy, ON GAUGE-EQUIVALENT FORMULATIONS OF N=4 SKdV HIERARCHY, Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces., A new integrable equation valued on a Cayley–Dickson algebra, Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions, \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace, Lax pair formulation of the \(N=4\) Toda chain (KdV) hierarchy in \(N=4\) superspace

Cites Work

• Non-Abelian bosonization in two dimensions
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach
• THE N = 3 SUPERSYMMETRIC KdV HIERARCHY
• On N=3 super Korteweg–de Vries equation
• Harmonic supergraphs: Green functions
• Supersymmetric extension of the Korteweg–de Vries equation
• A new N=2 supersymmetric Korteweg–de Vries equation
• SUPERCONFORMAL GEOMETRY FROM THE GRASSMANN AND HARMONIC ANALYTICITIES II: THE N=4 SU(2) CONFORMAL CASE
• A simple model of the integrable Hamiltonian equation
• N = 3 AND N = 4 SUPERCONFORMAL WZNW SIGMA MODELS IN SUPERSPACE II: THE N = 4 CASE