dc.contributor.author | Vicedo, Benoit | |
dc.contributor.author | Delduc, Francois | |
dc.contributor.author | Magro, Marc | |
dc.contributor.author | Kameyama, Takashi | |
dc.date.accessioned | 2017-07-18T15:40:11Z | |
dc.date.available | 2017-07-18T15:40:11Z | |
dc.date.issued | 2017-03-23 | |
dc.identifier.citation | Vicedo , B , Delduc , F , Magro , M & Kameyama , T 2017 , ' Affine q-deformed symmetry and the classical Yang-Baxter σ-model ' , Journal of High Energy Physics (JHEP) , vol. 2017 , no. 126 . https://doi.org/10.1007/JHEP03(2017)126 | |
dc.identifier.issn | 1126-6708 | |
dc.identifier.uri | http://hdl.handle.net/2299/18983 | |
dc.description | Open Access: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. © 2017 The Authors. Article funded by SCOAP. . | |
dc.description.abstract | The Yang-Baxter σ-model is an integrable deformation of the principal chiral model on a Lie group G. The deformation breaks the G × G symmetry to U(1)rank(G) × G. It is known that there exist non-local conserved charges which, together with the unbroken U(1)rank(G) local charges, form a Poisson algebra , which is the semiclassical limit of the quantum group Uq(g)Uq(g) , with gg the Lie algebra of G. For a general Lie group G with rank(G) > 1, we extend the previous result by constructing local and non-local conserved charges satisfying all the defining relations of the infinite-dimensional Poisson algebra , the classical analogue of the quantum loop algebra Uq(Lg)Uq(Lg) , where LgLg is the loop algebra of gg . Quite unexpectedly, these defining relations are proved without encountering any ambiguity related to the non-ultralocality of this integrable σ-model. | en |
dc.format.extent | 18 | |
dc.format.extent | 766024 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of High Energy Physics (JHEP) | |
dc.subject | integrable field theories | |
dc.subject | sigma models | |
dc.title | Affine q-deformed symmetry and the classical Yang-Baxter σ-model | en |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.description.status | Peer reviewed | |
rioxxterms.versionofrecord | 10.1007/JHEP03(2017)126 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |