7 citations · 15 across the 6 of their papers we have counts for
6 papers
Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A. Liashyk, S. Pakuliak, E. Ragoucy
The first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic -invariant integrable model for , , …
On the R-matrix realization of the quantum loop algebra. The case of
A. Liashyk, S. Pakuliak
The connection between the R-matrix realization and Drinfeld's realization of the quantum loop algebra is considered using the Gaussian decomposition approach prop…
Recurrence relations for off-shell Bethe vectors in trigonometric integrable models
A. Liashyk, S. Z. Pakuliak
The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with $U_q(\mathfrak{gl}…
Algebraic Bethe ansatz for -invariant integrable models
A. Liashyk, S. Z. Pakuliak
A class of -invariant quantum integrable models is investigated in the framework of algebraic Bethe ansatz method. A construction of the -…
Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
Andrii Liashyk, Stanislav Z. Pakuliak
We consider relations between Gauss coordinates of -operators for the Yangian doubles of the classical types corresponding to the algebras of , , and $D…
New approach to scalar products of Bethe vectors
A. Liashyk
We consider quantum integrable models solvable by the algebraic Bethe ansatz and possessing -invariant -matrix. We study the models of both periodic boundary c…