On the complete integrability of the static axially symmetric self-dual gauge field equations for an arbitrary group

DOI10.1016/0550-3213(82)90010-4zbMath0900.58051OpenAlexW2157501724MaRDI QIDQ1372986

J. Ning

Publication date: 23 November 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0550-3213(82)90010-4

zbMATH Keywords

self-dualityLax-pair type representationsstatic axially symmetric gauge fields

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (5)

ON SOLITON SOLUTIONS OF NONLINEAR SIGMA MODELS OF SYMMETRIC SPACES ⋮ Exact solutions of a nonlinear sigma-model in a curved space and the theory of magnetically ordered media with variable saturation magnetization ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ On the Atiyah-Drinfeld-Hitchin-Manin construction for self-dual gauge fields ⋮ Bäcklund transformations for static axially-symmetric self-dual SU(N) gauge fields

Cites Work

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• Construction of instantons
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Geometric approach to soliton equations
• Prolongation structures of nonlinear evolution equations

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