Noncommutative Instantons and Solitons
High Energy Physics - Theory
2009-11-10 v1
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.
Cite
@article{arxiv.hep-th/0401158,
title = {Noncommutative Instantons and Solitons},
author = {Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:hep-th/0401158},
year = {2009}
}
Comments
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