University of Hertfordshire

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Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains

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Original languageEnglish
JournalArXiv e-prints
Journal publication date26 Sep 2019
Publication statusE-pub ahead of print - 26 Sep 2019


We present a nested algebraic Bethe ansatz for one-dimensional open so(2n)- and sp(2n)-symmetric spin chains with diagonal boundary conditions and described by the extended twisted Yangian. We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so(2n)- or sp(2n)-symmetric open spin chain to that of a gl(n)-symmetric open spin chain. We explicitly derive the structure of Bethe vectors and the nested Bethe equations.


52 pages

ID: 17545456