The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
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| Creator |
Zabrodin, A.
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| 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.
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| Date |
2019-02-11T17:12:22Z
2019-02-11T17:12:22Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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