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|
|Sequence Number of Article:||P03001|
|Review Status:||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|
|Communicated by:||Niklas Beisert|
|Affiliations:||MPI für Gravitationsphysik/Duality & Integrable Structures|
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