 Dimensional reduction of a Yang-Mills instanton to a monopole (source code)

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= Dimensional reduction of a Yang-Mills instanton to a monopole
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If a four-dimensional Euclidean connection is independent of one coordinate and that connection component is renamed $\Phi$, the self-dual Yang-Mills equation reduces to the three-dimensional <Bogomolny-Prasad-Sommerfield monopole> equation $B_i=\pm D_i\Phi$.

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