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dc.contributor.authorCrampe, N.
dc.contributor.authorYoung, Charles A. S.
dc.date.accessioned2013-04-16T10:44:32Z
dc.date.available2013-04-16T10:44:32Z
dc.date.issued2007-08-20
dc.identifier.citationCrampe , N & Young , C A S 2007 , ' Sutherland Models for Complex Reflection Groups ' , Nuclear Physics B , vol. 793 , no. 3 , pp. 499-519 . https://doi.org/10.1016/j.nuclphysb.2007.11.028
dc.identifier.otherPURE: 776587
dc.identifier.otherPURE UUID: e8070d09-d076-43f2-9fc3-ed31fcb483ff
dc.identifier.otherArXiv: http://arxiv.org/abs/0708.2664v3
dc.identifier.otherScopus: 44249125741
dc.identifier.otherORCID: /0000-0002-7490-1122/work/55503503
dc.identifier.urihttp://hdl.handle.net/2299/10437
dc.description.abstractThere are known to be integrable Sutherland models associated to every real root system -- or, which is almost equivalent, to every real reflection group. Real reflection groups are special cases of complex reflection groups. In this paper we associate certain integrable Sutherland models to the classical family of complex reflection groups. Internal degrees of freedom are introduced, defining dynamical spin chains, and the freezing limit taken to obtain static chains of Haldane-Shastry type. By considering the relation of these models to the usual BC_N case, we are led to systems with both real and complex reflection groups as symmetries. We demonstrate their integrability by means of new Dunkl operators, associated to wreath products of dihedral groupsen
dc.language.isoeng
dc.relation.ispartofNuclear Physics B
dc.rightsOpen
dc.subjectmath-ph
dc.subjecthep-th
dc.subjectmath.MP
dc.titleSutherland Models for Complex Reflection Groupsen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionScience & Technology Research Institute
dc.description.statusPeer reviewed
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
dc.description.versiontypeSubmitted Version
dcterms.dateAccepted2007-08-20
rioxxterms.versionSMUR
rioxxterms.versionofrecordhttps://doi.org/10.1016/j.nuclphysb.2007.11.028
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.rights.accesstypeOpen


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