| 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 | ArXiv: http://arxiv.org/abs/1804.06751v1 | |
| dc.identifier.other | ORCID: /0000-0002-7490-1122/work/80218628 | |
| 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.format.extent | 415945 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Advances in Theoretical and Mathematical Physics | |
| 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 | Mathematics and Theoretical Physics | |
| dc.description.status | Peer reviewed | |
| rioxxterms.versionofrecord | 10.4310/ATMP.2020.v24.n1.a5 | |
| rioxxterms.type | Journal Article/Review | |
| herts.preservation.rarelyaccessed | true | |
