Generating Series for Nested Bethe Vectors
We reformulate nested relations between off-shell U_q(^gl_N) Bethe vectors as a certain equation on generating series of strings of the composed U_q(^gl_N) currents. Using inversion of the generating series we find a new type of hierarchical relations between universal off-shell Bethe vectors, usefu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.081 |
| Summary: | We reformulate nested relations between off-shell U_q(^gl_N) Bethe vectors as a certain equation on generating series of strings of the composed U_q(^gl_N) 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 U_q(^gl_2). |
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| ISSN: | 1815-0659 |