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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 054, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.054 (Mi sigma1353) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Modified Algebraic Bethe Ansatz: Twisted XXX Case

Samuel Belliardab, Nikita A. Slavnovc, Benoit Valleta

a Institut de Physique Théorique, DSM, CEA, URA2306 CNRS Saclay, F-91191, Gif-sur-Yvette, France
b Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHE, А-75005, Paris, France
c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.3842/SIGMA.2018.054
Abstract: We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two basis to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.
Keywords: integrable spin chain; algebraic Bethe ansatz; Baxter T-Q equation; quantum Wronskian equation.
Funding agency Grant number
Agence Nationale de la Recherche ANR-11-LABX-0056-LMH
Russian Foundation for Basic Research 18-01-00273_a
S.B. was supported by a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH. N.S. was supported by the Russian Foundation RFBR-18-01-00273a.
Received: April 9, 2018; in final form May 28, 2018; Published online June 7, 2018
Bibliographic databases:
Document Type: Article
MSC: 82R53; 81R12
Language: English
Citation: Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 14 (2018), 054, 18 pp.
Citation in format AMSBIB
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\paper Modified Algebraic Bethe Ansatz: Twisted XXX Case
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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