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Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Інший ID:
2010 Mathematics Subject Classification: 82B20; 82B23
DOI:10.3842/SIGMA.2011.012
DOI:10.3842/SIGMA.2011.012
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
614
Завантажень:
244
Анотація:
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.
