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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 3, Pages 555–576
DOI: https://doi.org/10.4213/tmf10492 (Mi tmf10492) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz

G. Kulkarnia, N. A. Slavnovb

a Université de Lyon, ENS de Lyon, Université Claude Bernard Lyon 1, CNRS, Laboratoire de Physique, Lyon, France
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10492
Abstract: We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as linear combinations of new Bethe vectors. We also compute the multiple action of the gauge-transformed monodromy matrix elements on the pre-Bethe vector and express the results in terms of the partition function of the $8$-vertex model.
Keywords: generalized algebraic Bethe ansatz, Bethe vectors, gauge transformed monodromy matrix, domain-wall partition function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-265
The work of G. Kulkarni was supported by the SIMC postdoctoral grant of the Steklov Mathematical Institute. The work of N. A. Slavnov was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement No. 075-15-2022-265).
Received: 06.03.2023
Revised: 06.03.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 3, Pages 1889–1906
DOI: https://doi.org/10.1134/S0040577923120085
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. Kulkarni, N. A. Slavnov, “Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz”, TMF, 217:3 (2023), 555–576; Theoret. and Math. Phys., 217:3 (2023), 1889–1906
Citation in format AMSBIB
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\by G.~Kulkarni, N.~A.~Slavnov
\paper Action of the~monodromy matrix elements in the~generalized algebraic Bethe ansatz
\jour TMF
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\vol 217
\issue 3
\pages 555--576
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\crossref{https://doi.org/10.4213/tmf10492}
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\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 3
\pages 1889--1906
\crossref{https://doi.org/10.1134/S0040577923120085}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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