Perfect Integrability and Gaudin Models

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dc.contributor.authorLu, Kang
dc.date.accessioned2025-12-23T13:12:22Z
dc.date.issued2020
dc.description.abstractWe suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions.
dc.description.sponsorshipThe author is grateful to E. Mukhin and V. Tarasov for interesting discussions and helpful suggestions. The author also thanks the referees for their comments and suggestions that substantially improved the first version of this paper. This work was partially supported by a grant from the Simons Foundation #353831.
dc.identifier.citationPerfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.132
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 82B23; 17B80
dc.identifier.otherarXiv:2008.06825
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211087
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titlePerfect Integrability and Gaudin Models
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік