A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies

DOI10.2991/jnmp.2000.7.4.3zbMath0970.35131arXivnlin/0002003OpenAlexW4299603428MaRDI QIDQ4521197

No author found.

Publication date: 19 December 2000

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

Full work available at URL: https://arxiv.org/abs/nlin/0002003

zbMATH Keywords

self-dual Yang-Mills systemgeneralized Drinfeld-Sokolov hiearchies

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) Yang-Mills and other gauge theories in quantum field theory (81T13)

Cites Work

• Unnamed Item
• Supersymmetric two-dimensional Toda lattice
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy.
• Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy.
• \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace
• Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions
• An exact solution for a derivative nonlinear Schrödinger equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions
• Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces.
• Lie superalgebras of string theories.

This page was built for publication: A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies