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        Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry

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        1710.08409v2.pdf (PDF, 503Kb)
        Author
        Gerrard, Allan
        MacKay, Niall
        Regelskis, Vidas
        Attention
        2299/21632
        Abstract
        We present a nested algebraic Bethe ansatz for a one-dimensional open spin chain whose boundary quantum spaces are irreducible so 2 n - or sp 2 n -representations, and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian Y ± (gl 2 n ). 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 2 n - or sp 2 n -symmetric open spin chain to that of a gl n -symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.
        Publication date
        2019-02-05
        Published in
        Annales Henri Poincaré
        Published version
        https://doi.org/10.1007/s00023-018-0731-1
        Other links
        http://hdl.handle.net/2299/21632
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