Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the sup...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148565 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry / J. Fuksa // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 33 назв. — англ. |
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Fuksa, J. 2019-02-18T15:53:58Z 2019-02-18T15:53:58Z 2017 Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry / J. Fuksa // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 33 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50; 82B23 DOI:10.3842/SIGMA.2017.015 https://nasplib.isofts.kiev.ua/handle/123456789/148565 Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians Y[gl(2|1)] and Y[gl(1|2)] are derived. The author wants to express his gratitude to N.A. Slavnov for the proposal to investigate this topic and discussions. He thanks also to S. Pakuliak for discussions and to A.P. Isaev and C. Burd´ık for their support. The work of the author has been supported by the Grant Agency ˇ of the Czech Technical University in Prague, grant No. SGS15/215/OHK4/3T/14, and by the Grant of the Plenipotentiary of the Czech Republic at JINR, Dubna. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry |
| spellingShingle |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry Fuksa, J. |
| title_short |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry |
| title_full |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry |
| title_fullStr |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry |
| title_full_unstemmed |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry |
| title_sort |
bethe vectors for composite models with gl(2|1) and gl(1|2) supersymmetry |
| author |
Fuksa, J. |
| author_facet |
Fuksa, J. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians Y[gl(2|1)] and Y[gl(1|2)] are derived.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148565 |
| citation_txt |
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry / J. Fuksa // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 33 назв. — англ. |
| work_keys_str_mv |
AT fuksaj bethevectorsforcompositemodelswithgl21andgl12supersymmetry |
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2025-12-07T13:22:50Z |
| last_indexed |
2025-12-07T13:22:50Z |
| _version_ |
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