On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models
Abstract We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)018 |
| _version_ | 1818968131977084928 |
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| author | A. Liashyk N. A. Slavnov |
| author_facet | A. Liashyk N. A. Slavnov |
| author_sort | A. Liashyk |
| collection | DOAJ |
| description | Abstract We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled. |
| first_indexed | 2024-12-20T13:59:49Z |
| format | Article |
| id | doaj.art-e36f8dcc8892462bb4955fcbecd747d5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T13:59:49Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e36f8dcc8892462bb4955fcbecd747d52022-12-21T19:38:24ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018613210.1007/JHEP06(2018)018On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable modelsA. Liashyk0N. A. Slavnov1Department for Theory of Nuclei and Quantum Field Theory, Bogoliubov Institute for Theoretical Physics, NAS of UkraineTheoretical Physics Department, Steklov Mathematical Institute of Russian Academy of SciencesAbstract We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled.http://link.springer.com/article/10.1007/JHEP06(2018)018Integrable Field TheoriesLattice Integrable Models |
| spellingShingle | A. Liashyk N. A. Slavnov On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models Journal of High Energy Physics Integrable Field Theories Lattice Integrable Models |
| title | On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models |
| title_full | On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models |
| title_fullStr | On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models |
| title_full_unstemmed | On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models |
| title_short | On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models |
| title_sort | on bethe vectors in gl3 mathfrak g mathfrak l 3 invariant integrable models |
| topic | Integrable Field Theories Lattice Integrable Models |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)018 |
| work_keys_str_mv | AT aliashyk onbethevectorsingl3mathfrakgmathfrakl3invariantintegrablemodels AT naslavnov onbethevectorsingl3mathfrakgmathfrakl3invariantintegrablemodels |