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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |