Area-Preserving Diffeomorphisms and Nonlinear Integrable Systems
| dc.creator | Takasaki, Kanehisa | |
| dc.date | 1991-12-17 | |
| dc.date.accessioned | 2026-07-07T09:13:56Z | |
| dc.date.available | 2026-07-07T09:13:56Z | |
| dc.description | Present state of the study of nonlinear ``integrable" systems related to the group of area-preserving diffeomorphisms on various surfaces is overviewed. Roles of area-preserving diffeomorphisms in 4-d self-dual gravity are reviewed. Recent progress in new members of this family, the SDiff(2) KP and Toda hierarchies, is reported. The group of area-preserving diffeomorphisms on a cylinder plays a key role just as the infinite matrix group GL($\infty$) does in the ordinary KP and Toda lattice hierarchies. The notion of tau functions is also shown to persist in these hierarchies, and gives rise to a central extension of the corresponding Lie algebra. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9112041 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9112041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152497 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Area-Preserving Diffeomorphisms and Nonlinear Integrable Systems | |
| dc.type | text |