Quantum curve in q-oscillator model
Exactly Solvable and Integrable Systems
2007-05-23 v2
Abstract
A lattice model of interacting q-oscillators, proposed in [V. Bazhanov, S. Sergeev, arXiv:hep-th/0509181], 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 the 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.
Cite
@article{arxiv.nlin/0510048,
title = {Quantum curve in q-oscillator model},
author = {S. Sergeev},
journal= {arXiv preprint arXiv:nlin/0510048},
year = {2007}
}
Comments
34 pages. v2: a misprint corrected