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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 094, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.094 (Mi sigma1294) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary

Nicolas Crampe

Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, Montpellier, France
Full-text PDF (390 kB) Citations (14)
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DOI: https://doi.org/10.3842/SIGMA.2017.094
Abstract: We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.
Keywords: integrability; algebraic Bethe ansatz; Gaudin models; Bethe equations.
Received: November 1, 2017; in final form December 6, 2017; Published online December 13, 2017
Bibliographic databases:
Document Type: Article
MSC: 81R12; 17B80; 37J35
Language: English
Citation: Nicolas Crampe, “Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary”, SIGMA, 13 (2017), 094, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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