Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
| dc.creator | Beisert, Niklas | |
| dc.creator | Erkal, Denis | |
| dc.date | 2007-11-29 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T11:13:27Z | |
| dc.date.available | 2026-07-07T11:13:27Z | |
| dc.description | An interesting type of spin chain has appeared in the context of the planar AdS/CFT correspondence: It is based on an integrable nearest-neighbor spin chain, and it is perturbatively deformed by long-range interactions which apparently preserve the integrable structure. Similar models can be constructed by demanding the existence of merely one conserved local charge. Although the latter is not a sufficient integrability condition in general, the models often display convincing signs of full integrability. Here we consider a class of long-range spin chains with spins transforming in the fundamental representation of gl(N). For the most general such model with one conserved local charge we construct a conserved Yangian generator and show that it obeys the Serre relations. We thus provide a formal proof of integrability for this class of models. | |
| dc.description | 27 pages, v2: minor changes, references added, figures updated, v3: minor corrections, references added, to appear in JSTAT | |
| dc.identifier | https://arxiv.org/abs/0711.4813 | |
| dc.identifier | http://arxiv.org/abs/0711.4813 | |
| dc.identifier | J.Stat.Mech.0803:P03001,2008 | |
| dc.identifier | doi:10.1088/1742-5468/2008/03/P03001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191725 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains | |
| dc.type | text |