Symmetries of the self-dual Yang-Mills equations

DOI10.1017/S0004972700016191zbMath0808.35115MaRDI QIDQ4291007

Rod Halburd

Publication date: 20 March 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group of symmetriessemisimple gauge group of finite dimension

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• A connection between the Einstein and Yang-Mills equations
• Symmetries of the 4D self-dual Yang-Mills equation and reduction to the 2D KdV equation
• Integrable and solvable systems, and relations among them
• Group Structure of Gauge Theories
• Nonlocal symmetries and Bäcklund transformations for the self-dual Yang–Mills system
• The Geroch group and non-Hausdorff twistor spaces