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arxiv: hep-th/0401158 · v1 · submitted 2004-01-22 · ✦ hep-th

Noncommutative Instantons and Solitons

classification ✦ hep-th
keywords instantonsnoncommutativesolitonsyang-mills-higgsconfigurationsconstructdimensionsdressing
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I explain how to construct noncommutative BPS configurations in four and lower dimensions by solving linear matrix equations. Examples are instantons in D=4 Yang-Mills, monopoles in D=3 Yang-Mills-Higgs, and (moving) solitons in D=2+1 Yang-Mills-Higgs. Some emphasis is on the latter as a showcase for the dressing method.

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