Deformation of algebras and solution of self-duality equation

DOI10.1063/1.527748zbMath0663.35078OpenAlexW2091297171MaRDI QIDQ3812670

Murad A. Mukhtarov, A. N. Leznov

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527748

zbMATH Keywords

Lax pairYang-Mills fieldsdeformation of algebrasself-duality equationinfinite-dimensional solvable algebraperturbative expansion series

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items

Extended self-dual Yang-Mills from the \(N=2\) string, Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory, Perturbative quantum gravity and its relation to gauge theory, Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation, From Moyal deformations to chiral higher-spin theories and to celestial algebras, Higher-spin Yang-Mills, amplitudes and self-duality, Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space, Anti-self-dual Yang-Mills equations on noncommutative space-time, Algebras for amplitudes, Exactly and completely integrable nonlinear dynamical systems, String-induced Yang-Mills coupling to self-dual gravity, General solution of string inspired nonlinear equations, Self-dual gravity as a large-\(N\) limit of the 2D nonlinear sigma model

Cites Work

• The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems