Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections

The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3)R-matrix and generic integrable non-diagonal boundary conditions. By using the fusion technique, certain closed operator identities among the fused transfer matrices at the inhomogeneous poi...

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Bibliographic Details
Published in:Nuclear physics. B 2016-09, Vol.910 (C), p.410-430
Main Authors: Li, Guang-Liang, Cao, Junpeng, Hao, Kun, Wen, Fakai, Yang, Wen-Li, Shi, Kangjie
Format: Article
Language:English
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Summary:The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3)R-matrix and generic integrable non-diagonal boundary conditions. By using the fusion technique, certain closed operator identities among the fused transfer matrices at the inhomogeneous points are derived. The corresponding asymptotic behaviors of the transfer matrices and their values at some special points are given in detail. Based on the functional analysis, a nested inhomogeneous T–Q relations and Bethe ansatz equations of the system are obtained. These results can be naturally generalized to cases related to the SUq(n) algebra.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2016.07.011