Transformation theory for anti-self-dual equations

DOI10.2977/prims/1195182443zbMath0524.58018OpenAlexW1981289270MaRDI QIDQ584796

Yoshimasa Nakamura, Kimio Ueno

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182443

zbMATH Keywords

Riemann-Hilbert probleminstantonsBäcklund transformationsKac-Moody algebraanalytic aspects of gauge theories

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (9)

Self-dual Yang–Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions ⋮ Periodic reduction of self-dual Yang–Mills equations ⋮ Symmetries of the Ablowitz–Kaup–Newell–Segur hierarchy ⋮ Algebraic analysis of a discrete hierarchy of double bracket equations ⋮ Representations of Kac–Moody algebras by step algebras ⋮ Transformation group acting on a self-dual Yang–Mills hierarchy ⋮ Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization ⋮ Aspects of integrability in self-dual Einstein metrics and related equations ⋮ Self-duality and integrable systems

Cites Work

• Unnamed Item
• Infinite dimensional Lie algebras acting on chiral fields and the Riemann-Hilbert problem
• Instantons and algebraic geometry
• Kac-Moody algebra in the self-dual Yang-Mills equation
• On self-dual gauge fields

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