Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space
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Publication:3136687
DOI10.1063/1.530074zbMath0780.53058OpenAlexW1980202866MaRDI QIDQ3136687
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Publication date: 21 October 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530074
Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items (4)
Self-dual Yang-Mills fields in \(d=4\) and integrable systems in \(1\leq d\leq 3\) ⋮ Invariant spinors and reduced Dirac equations under subgroups of the Euclidean group in four-dimensional Euclidean space ⋮ Some new integrable equations from the self-dual Yang-Mills equations ⋮ Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group
Cites Work
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- A FRACTIONAL KdV HIERARCHY
- Matter-coupled Yang-Mills system in Minkowski space. I. Invariant solutions in the presence of scalar fields
- Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
- Group actions on principal bundles and invariance conditions for gauge fields
- Self-similar solutions for a coupled system of nonlinear Schrodinger equations
- Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
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