On the Gaudin model associated to Lie algebras of classical types
| dc.contributor.author | Lu, Kang | |
| dc.contributor.author | Mukhin, Eugene | |
| dc.contributor.author | Varchenko, A. | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2017-06-09T16:30:05Z | |
| dc.date.available | 2017-06-09T16:30:05Z | |
| dc.date.issued | 2016-10 | |
| dc.description.abstract | We derive explicit formulas for solutions of the Bethe ansatz equations of the Gaudin model associated to the tensor product of one arbitrary finite-dimensional irreducible module and one vector representation for all simple Lie algebras of classical type. We use this result to show that the Bethe ansatz is complete in any tensor product where all but one factor are vector representations and the evaluation parameters are generic. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Lu, K., Mukhin, E., & Varchenko, A. (2016). On the Gaudin model associated to Lie algebras of classical types. Journal of Mathematical Physics, 57(10), 101703. https://doi.org/10.1063/1.4964389 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/12940 | |
| dc.language.iso | en | en_US |
| dc.publisher | AIP | en_US |
| dc.relation.isversionof | 10.1063/1.4964389 | en_US |
| dc.relation.journal | Journal of Mathematical Physics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | Lie algebras | en_US |
| dc.subject | Bethe ansatz equations | en_US |
| dc.subject | Gaudin model | en_US |
| dc.title | On the Gaudin model associated to Lie algebras of classical types | en_US |
| dc.type | Article | en_US |