Generating Series for Nested Bethe Vectors
| dc.creator | Khoroshkin, Sergey | |
| dc.creator | Pakuliak, Stanislav | |
| dc.date | 2008-10-17 | |
| dc.date | 2008-11-24 | |
| dc.date.accessioned | 2026-07-07T10:19:59Z | |
| dc.date.available | 2026-07-07T10:19:59Z | |
| dc.description | We reformulate nested relations between off-shell $U_q(\widehat{\mathfrak{gl}}_N)$ Bethe vectors as a certain equation on generating series of strings of the composed $U_q(\widehat{\mathfrak{gl}}_N)$ 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 $U_q(\widehat{\mathfrak{gl}}_2)$. | |
| dc.description | This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0810.3131 | |
| dc.identifier | http://arxiv.org/abs/0810.3131 | |
| dc.identifier | SIGMA 4 (2008), 081, 23 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174709 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17B37; 81R50 | |
| dc.title | Generating Series for Nested Bethe Vectors | |
| dc.type | text |