The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It s...
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| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146851 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy / A. Zabrodin // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 42 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1468512019-02-12T01:23:55Z The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy Zabrodin, A. Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also characterize the class of solutions to the mKP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum spin chain and the classical Ruijsenaars-Schneider system of particles. 2014 Article The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy / A. Zabrodin // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 42 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10; 81Q80; 05E05 DOI:10.3842/SIGMA.2014.006 http://dspace.nbuv.gov.ua/handle/123456789/146851 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also characterize the class of solutions to the mKP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum spin chain and the classical Ruijsenaars-Schneider system of particles. |
| format |
Article |
| author |
Zabrodin, A. |
| spellingShingle |
Zabrodin, A. The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zabrodin, A. |
| author_sort |
Zabrodin, A. |
| title |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy |
| title_short |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy |
| title_full |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy |
| title_fullStr |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy |
| title_full_unstemmed |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy |
| title_sort |
master t-operator for inhomogeneous xxx spin chain and mkp hierarchy |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146851 |
| citation_txt |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy / A. Zabrodin // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 42 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT zabrodina themastertoperatorforinhomogeneousxxxspinchainandmkphierarchy AT zabrodina mastertoperatorforinhomogeneousxxxspinchainandmkphierarchy |
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2023-05-20T17:25:48Z |
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2023-05-20T17:25:48Z |
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1796153277784522752 |