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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2011 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146778 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862605696509411328 |
|---|---|
| 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.
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| first_indexed | 2025-11-28T12:14:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146778 |
| 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 |