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dc.contributor.authorGerrard, Allan
dc.contributor.authorMacKay, Niall
dc.contributor.authorRegelskis, Vidas
dc.date.accessioned2019-08-29T02:00:28Z
dc.date.available2019-08-29T02:00:28Z
dc.date.issued2019-02-05
dc.identifier.citationGerrard , A , MacKay , N & Regelskis , V 2019 , ' Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry ' , Annales Henri Poincaré , vol. 20 , no. 2 , pp. 339-392 . https://doi.org/10.1007/s00023-018-0731-1
dc.identifier.issn1424-0637
dc.identifier.otherPURE: 15524727
dc.identifier.otherPURE UUID: bb0890d6-7f67-4f7b-ab31-aa415a161b5e
dc.identifier.otherArXiv: http://arxiv.org/abs/1710.08409v2
dc.identifier.otherScopus: 85055714552
dc.identifier.urihttp://hdl.handle.net/2299/21632
dc.description.abstractWe 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.en
dc.format.extent54
dc.language.isoeng
dc.relation.ispartofAnnales Henri Poincaré
dc.rightsEmbargoed
dc.subjectStatistical and Nonlinear Physics
dc.subjectNuclear and High Energy Physics
dc.subjectMathematical Physics
dc.titleNested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetryen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionMathematics Research Group
dc.description.statusPeer reviewed
dc.date.embargoedUntil2019-10-24
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=85055714552&partnerID=8YFLogxK
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
dc.description.versiontypeFinal Accepted Version
dcterms.dateAccepted2019-02-05
rioxxterms.versionAM
rioxxterms.versionofrecordhttps://doi.org/10.1007/s00023-018-0731-1
rioxxterms.licenseref.uriOther
rioxxterms.licenseref.startdate2019-10-24
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.date.embargo2019-10-24
herts.rights.accesstypeEmbargoed


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