Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces

DOI10.1063/1.530144zbMath0774.58037OpenAlexW1969047529MaRDI QIDQ4201743

Jacek Tafel

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530144

zbMATH Keywords

self-dual Yang-Mills equationsself-dual spaces

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99)

Related Items (7)

Surfaces in \(\mathbb{R}^ 3\) with prescribed curvature ⋮ Self-dual Yang-Mills fields in \(d=4\) and integrable systems in \(1\leq d\leq 3\) ⋮ Invariant spinors and reduced Dirac equations under subgroups of the Euclidean group in four-dimensional Euclidean space ⋮ Anti-self-dual conformal structures with null Killing vectors from projective structures ⋮ On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations ⋮ Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group ⋮ Extended Vacuum Solutions and their Elementary Excitations of the Yang–Mills Gauge Theory

Cites Work

• Inverse scattering method with variable spectral parameter
• Construction of instantons
• Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform
• Integrable Hamiltonian systems and interactions through quadratic constraints
• A comparison of solution generating techniques for the self-dual Yang–Mills equations. II
• Integrable and solvable systems, and relations among them
• Group actions on principal bundles and invariance conditions for gauge fields
• Self-duality in four-dimensional Riemannian geometry
• On self-dual gauge fields

This page was built for publication: Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces