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GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite mod...
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Інститут математики НАН України
2015
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147134 |
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irk-123456789-1471342019-02-14T01:23:28Z GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors Pakuliak, S. Ragoucy, E. Slavnov, N.A. We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik-Zamolodchikov equation. 2015 Article GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50 DOI:10.3842/SIGMA.2015.063 http://dspace.nbuv.gov.ua/handle/123456789/147134 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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English |
| description |
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik-Zamolodchikov equation. |
| format |
Article |
| author |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| spellingShingle |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| author_sort |
Pakuliak, S. |
| title |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_short |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_full |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_fullStr |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_full_unstemmed |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_sort |
gl(3)-based quantum integrable composite models. i. bethe vectors |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147134 |
| citation_txt |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT pakuliaks gl3basedquantumintegrablecompositemodelsibethevectors AT ragoucye gl3basedquantumintegrablecompositemodelsibethevectors AT slavnovna gl3basedquantumintegrablecompositemodelsibethevectors |
| first_indexed |
2023-05-20T17:26:40Z |
| last_indexed |
2023-05-20T17:26:40Z |
| _version_ |
1796153299502628864 |