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

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 co...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2011
Main Authors: Filali, G., Kitanine, N.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146778
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End / G. Filali, N. Kitanine // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Filali, G.
Kitanine, N.
author_facet Filali, G.
Kitanine, N.
citation_txt Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End / G. Filali, N. Kitanine // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description 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.
first_indexed 2025-11-28T12:14:18Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-28T12:14:18Z
publishDate 2011
publisher Інститут математики НАН України
record_format dspace
spelling Filali, G.
Kitanine, N.
2019-02-11T14:56:56Z
2019-02-11T14:56:56Z
2011
Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End / G. Filali, N. Kitanine // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 82B20; 82B23
DOI:10.3842/SIGMA.2011.012
https://nasplib.isofts.kiev.ua/handle/123456789/146778
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.
This paper is a contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2010.html.
 The authors are grateful to the LPTHE laboratory (Universit´e Pierre et Marie Curie, Paris 6) for hospitality which made this collaboration much easier. We would like to thank J.M. Maillet, V. Terras, G. Niccoli, K.K. Kozlowski, J. Avan and V. Roubtsov for many interesting discussions. N.K. is supported by the Regional Council of Bourgundy (Conseil R´egional de Bourgogne) FABER programm.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Article
published earlier
spellingShingle Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Filali, G.
Kitanine, N.
title Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
title_full Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
title_fullStr Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
title_full_unstemmed Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
title_short Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
title_sort spin chains with non-diagonal boundaries and trigonometric sos model with reflecting end
url https://nasplib.isofts.kiev.ua/handle/123456789/146778
work_keys_str_mv AT filalig spinchainswithnondiagonalboundariesandtrigonometricsosmodelwithreflectingend
AT kitaninen spinchainswithnondiagonalboundariesandtrigonometricsosmodelwithreflectingend