Pohlmeyer reduction revisited
| dc.creator | Miramontes, J. Luis | |
| dc.date | 2008-08-25 | |
| dc.date | 2008-10-09 | |
| dc.date.accessioned | 2026-07-07T12:24:22Z | |
| dc.date.available | 2026-07-07T12:24:22Z | |
| dc.description | A systematic group theoretical formulation of the Pohlmeyer reduction is presented. It provides a map between the equations of motion of sigma models with target-space a symmetric space M=F/G and a class of integrable multi-component generalizations of the sine-Gordon equation. When M is of definite signature their solutions describe classical bosonic string configurations on the curved space-time R_t\times M. In contrast, if M is of indefinite signature the solutions to those equations can describe bosonic string configurations on R_t\times M, M\times S^1_\vartheta or simply M. The conditions required to enable the Lagrangian formulation of the resulting equations in terms of gauged WZW actions with a potential term are clarified, and it is shown that the corresponding Lagrangian action is not unique in general. The Pohlmeyer reductions of sigma models on CP^n and AdS_n are discussed as particular examples of symmetric spaces of definite and indefinite signature, respectively. | |
| dc.description | 45 pages, LaTeX, more references added, accepted for publication in JHEP | |
| dc.identifier | https://arxiv.org/abs/0808.3365 | |
| dc.identifier | http://arxiv.org/abs/0808.3365 | |
| dc.identifier | JHEP 0810:087,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/10/087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214301 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Pohlmeyer reduction revisited | |
| dc.type | text |