Generating Series for Nested Bethe Vectors
Vernadsky National Library of Ukraine
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Title |
Generating Series for Nested Bethe Vectors
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Creator |
Khoroshkin, S.
Pakuliak, S. |
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Description |
We reformulate nested relations between off-shell Uq(^glN) Bethe vectors as a certain equation on generating series of strings of the composed Uq(^glN) currents. Using inversion of the generating series we find a new type of hierarchical relations between universal off-shell Bethe vectors, useful for a derivation of Bethe equation. As an example of application, we use these relations for a derivation of analytical Bethe ansatz equations [Arnaudon D. et al., Ann. Henri Poincaré 7 (2006), 1217-1268, math-ph/0512037] for the parameters of universal Bethe vectors of the algebra Uq(^gl2).
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Date |
2019-02-19T12:54:36Z
2019-02-19T12:54:36Z 2008 |
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Type |
Article
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Identifier |
Generating Series for Nested Bethe Vectors / S. Khoroshkin, S. Pakuliak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 18 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B37; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/149005 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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