Noncommutative Solitons and Integrable Systems
| dc.creator | Hamanaka, Masashi | |
| dc.date | 2005-03-31 | |
| dc.date | 2005-08-25 | |
| dc.date.accessioned | 2026-07-25T21:29:29Z | |
| dc.description | We review recent developments of soliton theories and integrable systems on noncommutative spaces. The former part is a brief review of noncommutative gauge theories focusing on ADHM construction of noncommutative instantons. The latter part is a report on recent results of existence of infinite conserved quantities and exact multi-soliton solutions for noncommutative Gelfand-Dickey hierarchies. Some examples of noncommutative Ward's conjecture are also presented. Finally, we discuss future directions on noncommutative Sato's theories, twistor theories and so on. | |
| dc.description | 27 pages, LaTeX, 3 figures, v3: references added, to appear in proceedings of the COE workshop on Noncommutative Geometry and Physics, Keio, February 26 - March 3, 2004 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0504001 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0504001 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/80007 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Noncommutative Solitons and Integrable Systems | |
| dc.type | text |