dc.contributor.author | Gerrard, Allan | |
dc.contributor.author | Regelskis, Vidas | |
dc.date.accessioned | 2020-01-21T02:07:01Z | |
dc.date.available | 2020-01-21T02:07:01Z | |
dc.date.issued | 2020-03-01 | |
dc.identifier.citation | Gerrard , A & Regelskis , V 2020 , ' Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains ' , Nuclear Physics B , vol. 952 , 114909 , pp. 1-67 . https://doi.org/10.1016/j.nuclphysb.2019.114909 | |
dc.identifier.issn | 0550-3213 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1909.12123v1 | |
dc.identifier.other | ORCID: /0000-0002-0092-6917/work/69424448 | |
dc.identifier.uri | http://hdl.handle.net/2299/22086 | |
dc.description | © 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC-By license (https://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. | |
dc.description.abstract | We present a nested algebraic Bethe ansatz for one-dimensional so 2n- and sp 2n-symmetric open spin chains with diagonal boundary conditions. The monodromy matrix of these spin chains satisfies the defining relations on the extended twisted Yangians X ρ(so 2n,so 2n ρ) tw and X ρ(sp 2n,sp 2n ρ) tw, respectively. We use a generalisation of the De Vega and Karowski approach allowing us to relate the spectral problem of so 2n- or sp 2n-symmetric open spin chain to that of gl n-symmetric open spin chain studied by Belliard and Ragoucy. We explicitly derive the structure of Bethe vectors, their eigenvalues and the nested Bethe equations. We also provide a proof of Belliard and Ragoucy's trace formula for Bethe vectors of gl n-symmetric open spin chains. | en |
dc.format.extent | 67 | |
dc.format.extent | 827670 | |
dc.language.iso | eng | |
dc.relation.ispartof | Nuclear Physics B | |
dc.subject | math-ph | |
dc.subject | hep-th | |
dc.subject | math.MP | |
dc.subject | nlin.SI | |
dc.subject | 82B23, 17B37 | |
dc.subject | Nuclear and High Energy Physics | |
dc.title | Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains | en |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.description.status | Peer reviewed | |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=85077915940&partnerID=8YFLogxK | |
rioxxterms.versionofrecord | 10.1016/j.nuclphysb.2019.114909 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |