142 citations · 1.3k across the 62 of their papers we have counts for
63 papers
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…
Actions of the monodromy matrix elements onto -invariant Bethe vectors
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the -invariant quantum integrable models are calculated. These actions are use…
Bethe vectors for orthogonal integrable models
A. Liashyk, S. Z. Pakuliak, E. Ragoucy +1
We consider quantum integrable models associated with algebra. We describe Bethe vectors of these models in terms of the current generators of the $\mathcal{D}Y(\…
New symmetries of -invariant Bethe vectors
A. Liashyk, S. Z. Pakuliak, E. Ragoucy +1
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We study two types of Bethe vectors. The…