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Self-dual Yang-Mills fields and Nahm's equations

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Publication:1182284
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DOI10.1007/BF01811291zbMath0744.53048MaRDI QIDQ1182284

Alexander D. Popov, Tatiana A. Ivanova

Publication date: 28 June 1992

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


zbMATH Keywords

gauge fieldssemisimple Lie algebraself-duality equationsNahm equations


Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)


Related Items

(Anti)self-dual gauge fields in dimension \(d\geq 4\) ⋮ Lax pairs of integrable equations in \(1\leq d\leq 3\) dimensions as reductions of the Lax pair for the self-dual Yang-Mills equations ⋮ Symmetries of self-dual Yang-Mills equations dimensionally reduced from (2, 2) space-time ⋮ Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space



Cites Work

  • On the construction of monopoles
  • On symmetric gauge fields
  • Integrable and solvable systems, and relations among them
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