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Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond $K=1$

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arxiv 2206.08348 v2 pith:4PA35SFP submitted 2022-06-16 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords chainspinclassificationeclecticeigenvectorsjordanlineartwisted
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abstract

We continue the classification of the Jordan chains of the eclectic three state spin chain that we started in our previous article. Following the same steps, we construct the generalised eigenvectors of this spin chain by computing the strongly twisted limit of linear combinations of eigenvectors of a twisted XXX $SU(3)$ spin chain. We show that this classification problem can be mapped to the computation of the number of positive integer solutions of a system of linear equations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

  2. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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