dc.contributor.author | Huang, Chenliang | |
dc.contributor.author | Mukhin, Evgeny | |
dc.contributor.author | Vicedo, Benoît | |
dc.contributor.author | Young, Charles | |
dc.date.accessioned | 2020-09-12T00:04:56Z | |
dc.date.available | 2020-09-12T00:04:56Z | |
dc.date.issued | 2019-10-01 | |
dc.identifier.citation | Huang , C , Mukhin , E , Vicedo , B & Young , C 2019 , ' The solutions of $\mathfrak{gl}_{M|N}$ Bethe ansatz equation and rational pseudodifferential operators ' , Selecta Mathematica, New Series , vol. 25 , no. 4 , 52 . https://doi.org/10.1007/s00029-019-0498-3 | |
dc.identifier.issn | 1022-1824 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1809.01279v1 | |
dc.identifier.other | ORCID: /0000-0002-7490-1122/work/80218629 | |
dc.identifier.uri | http://hdl.handle.net/2299/23123 | |
dc.description | © 2020 Springer-Verlag. The final publication is available at Springer via https://doi.org/10.1007/s00029-019-0498-3. | |
dc.description.abstract | We describe a reproduction procedure which, given a solution of the $\mathfrak{gl}_{M|N}$ Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produces a family $P$ of other solutions called the population. To a population we associate a rational pseudodifferential operator $R$ and a superspace $W$ of rational functions. We show that if at least one module is typical then the population $P$ is canonically identified with the set of minimal factorizations of $R$ and with the space of full superflags in $W$. We conjecture that the singular eigenvectors (up to rescaling) of all $\mathfrak{gl}_{M|N}$ Gaudin Hamiltonians are in a bijective correspondence with certain superspaces of rational functions. | en |
dc.format.extent | 452449 | |
dc.language.iso | eng | |
dc.relation.ispartof | Selecta Mathematica, New Series | |
dc.subject | math.QA | |
dc.subject | math-ph | |
dc.subject | math.MP | |
dc.title | The solutions of $\mathfrak{gl}_{M|N}$ Bethe ansatz equation and rational pseudodifferential operators | en |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.description.status | Peer reviewed | |
dc.date.embargoedUntil | 2020-08-14 | |
rioxxterms.versionofrecord | 10.1007/s00029-019-0498-3 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |