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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 132, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.132 (Mi sigma1669) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Perfect Integrability and Gaudin Models

Kang Lu

Department of Mathematics, University of Denver, 2390 S. York St., Denver, CO 80210, USA
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DOI: https://doi.org/10.3842/SIGMA.2020.132
Abstract: 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 to simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions.
Keywords: Gaudin model, Bethe ansatz, Frobenius algebra.
Funding agency Grant number
Simons Foundation 353831
This work was partially supported by a grant from the Simons Foundation #353831.
Received: August 26, 2020; in final form December 2, 2020; Published online December 10, 2020
Bibliographic databases:
Document Type: Article
MSC: 82B23, 17B80
Language: English
Citation: Kang Lu, “Perfect Integrability and Gaudin Models”, SIGMA, 16 (2020), 132, 10 pp.
Citation in format AMSBIB
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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