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arxiv: hep-th/0404015 · v3 · submitted 2004-04-02 · ✦ hep-th

A monopole solution from noncommutative multi-instantons

classification ✦ hep-th
keywords monopolenoncommutativeconfigurationequationsselfdualitysolutionapproachbogomol
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We extend the relation between instanton and monopole solutions of the selfduality equations in SU(2) gauge theory to noncommutative space-times. Using this approach and starting from a noncommutative multi-instanton solution we construct a U(2) monopole configuration which lives in 3 dimensional ordinary space. This configuration resembles the Wu-Yang monopole and satisfies the selfduality (Bogomol'nyi) equations for a U(2) Yang-Mills-Higgs system.

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