142 citations · 1.3k across the 62 of their papers we have counts for
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Generating Series for Nested Bethe Vectors
Sergey Khoroshkin, Stanislav Pakuliak
We reformulate nested relations between off-shell Bethe vectors as a certain equation on generating series of strings of the composed $U_q(\widehat…
Bethe Ansatz for the Universal Weight Function
L. Frappat, S. Khoroshkin, S. Pakuliak +1
We consider universal off-shell Bethe vectors given in terms of Drinfeld realization of the algebra [arXiv:math/0610517,arXiv:0711.2819]. We investigate order…
SOS model partition function and the elliptic weight functions
S. Pakuliak, V. Rubtsov, A. Silantyev
We generalize a recent observation [arXiv:math/0610433] that the partition function of the 6-vertex model with domain-wall boundary conditions can be obtained by computing the proj…
On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
A. Oskin, S. Pakuliak, A. Silantyev
We continue investigation of the universal weight function for the quantum affine algebra started in arXiv:math/0610517 and arXiv:0711.2819. We obtain…
A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
S. Khoroshkin, S. Pakuliak
We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra app…
Weight functions and Drinfeld currents
Benjamin Enriquez, Sergey Khoroshkin, Stanislav Pakuliak
A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In r…
Off-shell Bethe vectors and Drinfeld currents
Sergey Khoroshkin, Stanislav Pakuliak, Vitaly Tarasov
In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra . The first construction comes f…
Factorization of the Universal R-matrix for
J. Ding, S. Khoroshkin, S. Pakuliak
The factorization of the universal R-matrix corresponding to so called Drinfeld Hopf structure is described on the example of quantum affine algebra . As a result…