Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
| dc.creator | Hollowood, Timothy J. | |
| dc.creator | Miramontes, J. Luis | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T13:09:47Z | |
| dc.date.available | 2026-07-07T13:09:47Z | |
| dc.description | We study the solitons of the symmetric space sine-Gordon theories that arise once the Pohlmeyer reduction has been imposed on a sigma model with the symmetric space as target. Under this map the solitons arise as giant magnons that are relevant to string theory in the context of the AdS/CFT correspondence. In particular, we consider the cases S^n, CP^n and SU(n) in some detail. We clarify the construction of the charges carried by the solitons and also address the possible Lagrangian formulations of the symmetric space sine-Gordon theories. We show that the dressing, or Backlund, transformation naturally produces solitons directly in both the sigma model and the symmetric space sine-Gordon equations without the need to explicitly map from one to the other. In particular, we obtain a new magnon solution in CP^3. We show that the dressing method does not produce the more general "dyonic" solutions which involve non-trivial motion of the collective coordinates carried by the solitons. | |
| dc.description | 52 pages | |
| dc.identifier | https://arxiv.org/abs/0902.2405 | |
| dc.identifier | http://arxiv.org/abs/0902.2405 | |
| dc.identifier | JHEP 0904:060,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/04/060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228853 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Magnons, their Solitonic Avatars and the Pohlmeyer Reduction | |
| dc.type | text |