Dressing Symmetries
| dc.creator | Babelon, O. | |
| dc.creator | Bernard, D. | |
| dc.date | 1991-11-20 | |
| dc.date.accessioned | 2026-07-07T11:35:50Z | |
| dc.date.available | 2026-07-07T11:35:50Z | |
| dc.description | We study Lie-Poisson actions on symplectic manifolds. We show that they are generated by non-Abelian Hamiltonians. We apply this result to the group of dressing transformations in soliton theories; we find that the non-Abelian Hamiltonian is just the monodromy matrix. This provides a new proof of their Lie-Poisson property. We show that the dressing transformations are the classical precursors of the non-local and quantum group symmetries of these theories. We treat in detail the examples of the Toda field theories and the Heisenberg model. | |
| dc.description | (29 pages) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9111036 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9111036 | |
| dc.identifier | Commun.Math.Phys.149:279-306,1992 | |
| dc.identifier | doi:10.1007/BF02097626 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198728 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Dressing Symmetries | |
| dc.type | text |