Quantum curve in q-oscillator model
A lattice model of interacting q-oscillators, proposed by V. Bazhanov and S. Sergeev in 2005 is the quantum-mechanical integrable model in 2+1 dimensional space-time. Its layer-to-layer transfer matrix is a polynomial of two spectral parameters, it may be regarded in terms of quantum groups both as...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/92064 |
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| _version_ | 1841524646384500736 |
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| author | S. Sergeev |
| author_facet | S. Sergeev |
| author_sort | S. Sergeev |
| collection | DOAJ |
| description | A lattice model of interacting q-oscillators, proposed by V. Bazhanov and S. Sergeev in 2005 is the
quantum-mechanical integrable model in 2+1 dimensional space-time. Its layer-to-layer transfer matrix is a polynomial of
two spectral parameters, it may be regarded in terms of
quantum groups both as a sum of sl(N) transfer matrices of a
chain of length M and as a sum of sl(M) transfer matrices of
a chain of length N for reducible representations. The aim of
this paper is to derive the Bethe ansatz equations for the
q-oscillator model entirely in the framework of 2+1 integrability providing the evident rank-size duality. |
| format | Article |
| id | doaj-art-8e7be48731a9457fac41d3226c080776 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8e7be48731a9457fac41d3226c0807762025-02-03T05:47:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9206492064Quantum curve in q-oscillator modelS. Sergeev0Department of Theoretical Physics, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, AustraliaA lattice model of interacting q-oscillators, proposed by V. Bazhanov and S. Sergeev in 2005 is the quantum-mechanical integrable model in 2+1 dimensional space-time. Its layer-to-layer transfer matrix is a polynomial of two spectral parameters, it may be regarded in terms of quantum groups both as a sum of sl(N) transfer matrices of a chain of length M and as a sum of sl(M) transfer matrices of a chain of length N for reducible representations. The aim of this paper is to derive the Bethe ansatz equations for the q-oscillator model entirely in the framework of 2+1 integrability providing the evident rank-size duality.http://dx.doi.org/10.1155/IJMMS/2006/92064 |
| spellingShingle | S. Sergeev Quantum curve in q-oscillator model International Journal of Mathematics and Mathematical Sciences |
| title | Quantum curve in q-oscillator model |
| title_full | Quantum curve in q-oscillator model |
| title_fullStr | Quantum curve in q-oscillator model |
| title_full_unstemmed | Quantum curve in q-oscillator model |
| title_short | Quantum curve in q-oscillator model |
| title_sort | quantum curve in q oscillator model |
| url | http://dx.doi.org/10.1155/IJMMS/2006/92064 |
| work_keys_str_mv | AT ssergeev quantumcurveinqoscillatormodel |