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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 012, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.012 (Mi sigma570) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

Ghali Filalia, Nikolai Kitanineb

a Université de Cergy-Pontoise, LPTM UMR 8089 du CNRS, 2 av. Adolphe Chauvin, 95302 Cergy-Pontoise, France
b Université de Bourgogne, Institut de Mathématiques de Bourgogne UMR 5584 du CNRS, 9 av. Alain Savary – B.P. 47 870, 21078 Dijon, France
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DOI: https://doi.org/10.3842/SIGMA.2011.012
Abstract: In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric solid-on-solid (SOS) model with one reflecting end and domain wall boundary conditions. We show that these two problems are related through a gauge transformation (so-called vertex-face transformation) and can be solved using the same dynamical reflection algebras.
Keywords: algebraic Bethe ansatz; spin chains; dynamical reflection algebra; SOS models.
Received: October 28, 2010; in final form January 11, 2011; Published online January 27, 2011
Bibliographic databases:
Document Type: Article
MSC: 82B20; 82B23
Language: English
Citation: Ghali Filali, Nikolai Kitanine, “Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End”, SIGMA, 7 (2011), 012, 22 pp.
Citation in format AMSBIB
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\by Ghali Filali, Nikolai Kitanine
\paper Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
\jour SIGMA
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\vol 7
\papernumber 012
\totalpages 22
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    • This publication is cited in the following 22 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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