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періодичних видань НАН України
періодичних видань НАН України
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Zabrodin, A. | |
| dc.date.accessioned | 2019-02-11T17:12:22Z | |
| dc.date.available | 2019-02-11T17:12:22Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 37K10; 81Q80; 05E05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.006 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146851 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. The author thanks A. Alexandrov, A. Gorsky, V. Kazakov, S. Khoroshkin, I. Krichever, S. Leurent, M. Olshanetsky, A. Orlov, T. Takebe, Z. Tsuboi, and A. Zotov for discussions. Referees’ remarks which helped to improve the manuscript are gratefully acknowledged. This work was supported in part by RFBR grant 11-02-01220, by joint RFBR grants 12-02-91052-CNRS, 12- 02-92108-JSPS and by Ministry of Science and Education of Russian Federation under contract 8207 and by grant NSh-3349.2012.2 for support of leading scientific schools. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
