Combinatorial Formulae for Nested Bethe Vectors

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({mathfrak{gl}}_N)$ and the quantum affine algebra~$U_q(widetilde{{mathfrak{gl}}_N})$.

Bibliographic Details
Main Authors: Vitaly Tarasov, Alexander Varchenko
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.048