University of Hertfordshire

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Original languageEnglish
Article number115021
Number of pages30
JournalNuclear Physics B
Publication statusPublished - Jul 2020


We construct exact eigenvectors and eigenvalues for Uq(sp2n)- and Uq(so2n)-symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax operators. Our approach generalises and extends the results obtained by Reshetikhin and De Vega–Karowski. We also present a generalisation of Tarasov–Varchenko trace formula for nested Bethe vectors.


© 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (

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