Affine Solitons: A Relation Between Tau Functions, Dressing and Bäcklund Transformations
| dc.creator | Babelon, Olivier | |
| dc.creator | Bernard, Denis | |
| dc.date | 1992-06-01 | |
| dc.date.accessioned | 2026-07-07T11:35:51Z | |
| dc.date.available | 2026-07-07T11:35:51Z | |
| dc.description | We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the $N$-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to built the $N$-soliton solutions from the vacuum solution. The dressed $τ$-functions can be computed in two different ways~: either using adjoint actions in the affine Lie algebra $\hat {sl_2}$, and this gives the relation with the Bäcklund transformations, or using the level one representations of the affine Lie algebra $\widehat{sl_2}$, and this directly gives the formulae for the $τ$-functions in terms of vertex operators. | |
| dc.description | 33 pages. SPhT-92-055; LPTHE-92-16 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9206002 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9206002 | |
| dc.identifier | Int.J.Mod.Phys.A8:507-543,1993 | |
| dc.identifier | doi:10.1142/S0217751X93000199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198734 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Affine Solitons: A Relation Between Tau Functions, Dressing and Bäcklund Transformations | |
| dc.type | text |