dc.contributor.author Lacroix, Sylvain dc.contributor.author Vicedo, Benoit dc.contributor.author Young, Charles A. S. dc.date.accessioned 2020-09-12T00:04:40Z dc.date.available 2020-09-12T00:04:40Z dc.date.issued 2020-05-22 dc.identifier.citation Lacroix , S , Vicedo , B & Young , C A S 2020 , ' Cubic hypergeometric integrals of motion in affine Gaudin models ' , Advances in Theoretical and Mathematical Physics , vol. 24 , no. 1 , pp. 155-187 . https://doi.org/10.4310/ATMP.2020.v24.n1.a5 dc.identifier.issn 1095-0761 dc.identifier.other PURE: 17049682 dc.identifier.other PURE UUID: ee3bd6be-2760-4a00-bfe4-f8d6ebf66620 dc.identifier.other ArXiv: http://arxiv.org/abs/1804.06751v1 dc.identifier.other ORCID: /0000-0002-7490-1122/work/80218628 dc.identifier.other Scopus: 85087702028 dc.identifier.uri http://hdl.handle.net/2299/23122 dc.description © 2020 International Press of Boston, Inc. This is the accepted manuscript version of an article which has been published in final form at https://dx.doi.org/10.4310/ATMP.2020.v24.n1.a5. dc.description.abstract We construct cubic Hamiltonians for quantum Gaudin models of affine types $\hat{\mathfrak{sl}}_M$. They are given by hypergeometric integrals of a form we recently conjectured in arXiv:1804.01480. We prove that they commute amongst themselves and with the quadratic Hamiltonians. We prove that their vacuum eigenvalues, and their eigenvalues for one Bethe root, are given by certain hypergeometric functions on a space of affine opers. en dc.format.extent 33 dc.language.iso eng dc.relation.ispartof Advances in Theoretical and Mathematical Physics dc.rights Open dc.subject math.QA dc.subject hep-th dc.title Cubic hypergeometric integrals of motion in affine Gaudin models en dc.contributor.institution School of Physics, Astronomy and Mathematics dc.contributor.institution Mathematical and Theoretical Physics dc.description.status Peer reviewed dc.description.versiontype Final Accepted Version dcterms.dateAccepted 2020-05-22 rioxxterms.version AM rioxxterms.versionofrecord https://doi.org/10.4310/ATMP.2020.v24.n1.a5 rioxxterms.licenseref.uri Unspecified rioxxterms.type Journal Article/Review herts.preservation.rarelyaccessed true herts.rights.accesstype Open
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