Quantum curve in q -oscillator model

S. Sergeev

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-31

Abstract:

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:092064

DOI: 10.1155/IJMMS/2006/92064

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