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Yang-Baxter equation in spin chains with long range interactions

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arxiv hep-th/9301084 v1 pith:PO6HXWGX submitted 1993-01-21 hep-th cond-mat

D. Bernard , M. Gaudin , F.D.M. Haldane , V. Pasquier This is my paper · ORCID
classification hep-thcond-mat
keywords spinchainsequationinteractionslongrangeyang-baxtercalogero-sutherland
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abstract

We consider the $ su(n) $ spin chains with long range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the expression of the conserved quantities and we diagonalize them.

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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. Quantum Trigonometric Spin Ruijsenaars-Schneider Models from $K$-theoretic Coulomb Branches

    hep-th 2026-07 conditional novelty 8.0 of 10

    The trigonometric spin Ruijsenaars-Schneider model is quantized from K-theoretic Coulomb branch data, with commuting Hamiltonians and quantum spin commutation relations derived.

  2. Long-range to the Rescue of Yang-Baxter II

    hep-th 2025-07 conditional novelty 6.0 of 10

    A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.

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