Gerrard, Allan John, MacKay, Niall James orcid.org/0000-0003-3279-4717 and Regelskis, Vidas orcid.org/0000-0002-0092-6917 (2019) Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry. Annales Henri Poincare. pp. 339-392. ISSN 1424-0661
Abstract
We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible so2n- or sp2n-representations and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian Y±(gl2n). We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so2n- or sp2n-symmetric open spin chain to that of a gln-symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.
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Copyright, Publisher and Additional Information: | ©2018 Springer Nature. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 07 Nov 2018 09:48 |
Last Modified: | 04 Feb 2024 00:56 |
Published Version: | https://doi.org/10.1007/s00023-018-0731-1 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1007/s00023-018-0731-1 |
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