Self-dual Yang-Mills fields in \(d=4\) and integrable systems in \(1\leq d\leq 3\)

DOI10.1007/BF01017880zbMath0854.58046MaRDI QIDQ1920592

Alexander D. Popov, Tatiana A. Ivanova

Publication date: 27 January 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lax pairholomorphic vector bundlesself-dual Yang-Mills fieldsWard correspondence

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of global analysis to the sciences (58Z05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions, Open \(N=2\) strings in a \(B\)-field background and noncommutative self-dual Yang-Mills, Semiclassical Solutions of the Nonlinear Schrödinger Equation

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