dc.contributor.author | Delduc, Francois | |
dc.contributor.author | Magro, Marc | |
dc.contributor.author | Vicedo, Benoit | |
dc.date.accessioned | 2014-03-20T09:58:52Z | |
dc.date.available | 2014-03-20T09:58:52Z | |
dc.date.issued | 2013-11-26 | |
dc.identifier.citation | Delduc , F , Magro , M & Vicedo , B 2013 , ' On classical q-deformations of integrable sigma-models ' , Journal of High Energy Physics (JHEP) , vol. 2013 , no. 11 , 192 . https://doi.org/10.1007/JHEP11(2013)192 | |
dc.identifier.issn | 1126-6708 | |
dc.identifier.uri | http://hdl.handle.net/2299/13131 | |
dc.description | JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 | |
dc.description.abstract | A procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F, one recovers the Yang-Baxter σ-model introduced a few years ago by C. Klimčík. In the case of the symmetric space σ-model on F/G we obtain a new one-parameter family of integrable σ-models. The actions of these models correspond to a deformation of the target space geometry and include a torsion term. An interesting feature of the construction is the q-deformation of the symmetry corresponding to left multiplication in the original models, which becomes replaced by a classical q-deformed Poisson-Hopf algebra. Another noteworthy aspect of the deformation in the coset σ-model case is that it interpolates between a compact and a non-compact symmetric space. This is exemplified in the case of the SU(2)/U(1) coset σ-model which interpolates all the way to the SU(1, 1)/U(1) coset σ-model | en |
dc.format.extent | 601608 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of High Energy Physics (JHEP) | |
dc.title | On classical q-deformations of integrable sigma-models | en |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.contributor.institution | Science & Technology Research Institute | |
dc.description.status | Peer reviewed | |
rioxxterms.versionofrecord | 10.1007/JHEP11(2013)192 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |