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...
| Published in: | Journal of High Energy Physics |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
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| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)018 |
| Summary: | 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. |
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| ISSN: | 1029-8479 |