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Generating Series for Nested Bethe Vectors

Vernadsky National Library of Ukraine

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Title Generating Series for Nested Bethe Vectors
 
Creator Khoroshkin, S.
Pakuliak, S.
 
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).
 
Date 2019-02-19T12:54:36Z
2019-02-19T12:54:36Z
2008
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України