Noncommutative Ward's Conjecture and Integrable Systems
| dc.creator | Hamanaka, Masashi | |
| dc.date | 2006-01-30 | |
| dc.date | 2006-03-30 | |
| dc.date.accessioned | 2026-07-07T10:45:48Z | |
| dc.date.available | 2026-07-07T10:45:48Z | |
| dc.description | Noncommutative Ward's conjecture is a noncommutative version of the original Ward's conjecture which says that almost all integrable equations can be obtained from anti-self-dual Yang-Mills equations by reduction. In this paper, we prove that wide class of noncommutative integrable equations in both (2+1)- and (1+1)-dimensions are actually reductions of noncommutative anti-self-dual Yang-Mills equations with finite gauge groups, which include noncommutative versions of Calogero-Bogoyavlenskii-Schiff eq., Zakharov system, Ward's chiral and topological chiral models, (modified) Korteweg-de Vries, Non-Linear Schroedinger, Boussinesq, N-wave, (affine) Toda, sine-Gordon, Liouville, Tzitzeica, (Ward's) harmonic map eqs., and so on. This would guarantee existence of twistor description of them and the corresponding physical situations in N=2 string theory, and lead to fruitful applications to noncommutative integrable systems and string theories. Some integrable aspects of them are also discussed. | |
| dc.description | 29 pages, LaTeX; v2: reduction to NC Tzitzeica modified, minor changes | |
| dc.identifier | https://arxiv.org/abs/hep-th/0601209 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0601209 | |
| dc.identifier | Nucl.Phys.B741:368-389,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.02.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183028 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Noncommutative Ward's Conjecture and Integrable Systems | |
| dc.type | text |