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

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Guang-Liang Li, Junpeng Cao, Kun Hao, Fakai Wen, Wen-Li Yang, Kangjie Shi

Mathematical Physics · Submitted 5 Feb 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Based on the functional analysis, a nested inhomogeneous T-Q relations and Bethe ansatz equations of the system are obtained.

how it is stated · asserted 1.00 read the record →

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arXiv ID1602.02042 (version 3)
Pith ID4O3CYOSN, Pith's permanent record of this paper and its review
CitationFakai Wen, Guang-Liang Li, Junpeng Cao, Kangjie Shi, Kun Hao, Wen-Li Yang. "Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections." arXiv:1602.02042 (2016). https://pith.science/paper/4O3CYOSN
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,216 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the $SU_q(3)$ 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 $SU_q(n)$ algebra.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the $SU_q(3)$ R-matrix and generic integrable non-diagonal boundary conditions. contribution 0.97 0.88 0.19 asserted 1.00
s1 By using the fusion technique, certain closed operator identities among the fused transfer matrices at the inhomogeneous points are derived. method 0.81 0.94 0.06 asserted 1.00
s2 The corresponding asymptotic behaviors of the transfer matrices and their values at some special points are given in detail. result 0.83 0.91 0.07 asserted 1.00
s3 Based on the functional analysis, a nested inhomogeneous T-Q relations and Bethe ansatz equations of the system are obtained. result 0.93 0.94 0.71 asserted 1.00
s4 These results can be naturally generalized to cases related to the $SU_q(n)$ algebra. interpretation 0.77 0.61 0.11 asserted 0.78

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the $SU_q(3)$ 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 $SU_q(n)$ algebra.

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