Perfect Integrability and Gaudin Models

We 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 cond...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Lu, Kang
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211087
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Lu, Kang
author_facet Lu, Kang
citation_txt Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We 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.
first_indexed 2026-03-14T12:05:26Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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last_indexed 2026-03-14T12:05:26Z
publishDate 2020
publisher Інститут математики НАН України
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spelling Lu, Kang
2025-12-23T13:12:22Z
2020
Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages
1815-0659
2020 Mathematics Subject Classification: 82B23; 17B80
arXiv:2008.06825
https://nasplib.isofts.kiev.ua/handle/123456789/211087
https://doi.org/10.3842/SIGMA.2020.132
We 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.
The 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.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Perfect Integrability and Gaudin Models
Article
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spellingShingle Perfect Integrability and Gaudin Models
Lu, Kang
title Perfect Integrability and Gaudin Models
title_full Perfect Integrability and Gaudin Models
title_fullStr Perfect Integrability and Gaudin Models
title_full_unstemmed Perfect Integrability and Gaudin Models
title_short Perfect Integrability and Gaudin Models
title_sort perfect integrability and gaudin models
url https://nasplib.isofts.kiev.ua/handle/123456789/211087
work_keys_str_mv AT lukang perfectintegrabilityandgaudinmodels