Noncommutative Instantons and Solitons
arXiv:hep-th/0401158 · doi:10.1002/prop.200410150
Abstract
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.
11 pages; talk presented at the 27th Johns Hopkins Workshop in Goteborg and at the 36th International Symposium Ahrenshoop in Berlin, both in August 2003