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Analytic Bethe Ansatz and $T$-system in $C^{(1)}_2$ vertex models

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Atsuo Kuniba

High Energy Physics - Theory · Submitted 8 Dec 1993

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

The authors' main claim Here we obtain the solution to the $T$-system for $C^{(1)}_2$ vertex models.

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arXiv IDhep-th/9312060 (version 1)
Pith IDKLZUZ4HE, Pith's permanent record of this paper and its review
CitationAtsuo Kuniba. "Analytic Bethe Ansatz and $T$-system in $C^{(1)}_2$ vertex models." arXiv:hep-th/9312060 (1993). https://pith.science/paper/KLZUZ4HE
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,894 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.26 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Eigenvalues of the commuting family of transfer matrices are expected to obey the $T$-system, a set of functional relation, proposed recently. Here we obtain the solution to the $T$-system for $C^{(1)}_2$ vertex models. They are compatible with the analytic Bethe ansatz and Yang-Baxterize the classical characters.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Eigenvalues of the commuting family of transfer matrices are expected to obey the $T$-system, a set of functional relation, proposed recently. background 1.00 0.04 0.07 hedged possibility 0.91
s1 Here we obtain the solution to the $T$-system for $C^{(1)}_2$ vertex models. contribution 0.86 0.96 0.71 asserted 1.00
s2 They are compatible with the analytic Bethe ansatz and Yang-Baxterize the classical characters. interpretation 0.59 0.69 0.26 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 1.00 · 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

The paper
Original abstract

Eigenvalues of the commuting family of transfer matrices are expected to obey the $T$-system, a set of functional relation, proposed recently. Here we obtain the solution to the $T$-system for $C^{(1)}_2$ vertex models. They are compatible with the analytic Bethe ansatz and Yang-Baxterize the classical characters.

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