Mathematics – Quantum Algebra
Scientific paper
2006-10-17
Mathematics
Quantum Algebra
25 pages, misprints corrected
Scientific paper
In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$. The first construction comes from the algebraic nested Bethe ansatz. The second one is defined in terms of certain projections of products of Drinfeld currents. We show that two constructions give the same result in tensor products of vector representations of $U_q(\hat{\mathfrak{gl}}_N)$.
Khoroshkin Sergey
Pakuliak Stanislav
Tarasov Vitaly
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