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ID: 328160.0, MPI für Gravitationsphysik / Duality & Integrable Structures
Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
Authors:Beisert, Niklas; Erkal, Denis
Date of Publication (YYYY-MM-DD):2008
Title of Journal:Journal of Statistical Mechanics
Volume:08
Sequence Number of Article:P03001
Review Status:not specified
Audience:Not Specified
Abstract / 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.
External Publication Status:published
Document Type:Article
Communicated by:Niklas Beisert
Affiliations:MPI für Gravitationsphysik/Duality & Integrable Structures
Identifiers:LOCALID:arXiv:0711.4813v1
DOI:10.1088/1742-5468/2008/03/P03001
ISSN:1742-5468
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