Abstract
An interesting type of spin chain has appeared in the context of the planar AdS/CFTcorrespondence: it is based on an integrable nearest-neighbor spin chain, and it isperturbatively deformed by long-range interactions which apparently preserve theintegrable structure. Similar models can be constructed by demanding the existence ofmerely one conserved local charge. Although the latter is not a sufficient integrabilitycondition 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 thefundamental representation of . For the most general such model with one conserved local charge we construct aconserved Yangian generator and show that it obeys the Serre relations. We thus provide aformal proof of integrability for this class of models.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
