Noncommutative Instantons and Solitons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages; talk presented at the 27th Johns Hopkins Workshop in Goteborg and at the 36th International Symposium Ahrenshoop in

Scientific paper

10.1002/prop.200410150

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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