Noncommutative Solitons
| dc.creator | Lechtenfeld, Olaf | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T11:12:07Z | |
| dc.date.available | 2026-07-07T11:12:07Z | |
| dc.description | Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for new types of solitonic solutions. I present the construction, moduli spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1 dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is gauge-fixed to an integrable chiral sigma model (the Ward model). Noncommutative solitons for various 1+1 dimensional integrable systems (such as sine-Gordon) easily follow by dimensional and algebraic reduction. Supersymmetric extensions exist as well and are related to twistor string theory. | |
| dc.description | 16 pages; talk given at the Third Mexican Meeting on Mathematical and Experimental Physics at El Colegio Nacional, Mexico City, 10-14 September 2007 | |
| dc.identifier | https://arxiv.org/abs/0710.2074 | |
| dc.identifier | http://arxiv.org/abs/0710.2074 | |
| dc.identifier | AIPConf.Proc.977:37-51,2008 | |
| dc.identifier | doi:10.1063/1.2902796 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191277 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncommutative Solitons | |
| dc.type | text |