46 citations · 197 across the 14 of their papers we have counts for
14 papers
Yangian Doubles and off-Shell Bethe Vectors
A. Liashyk, S. Pakuliak, E. Ragoucy
Off-shell Bethe vectors for a generic $\fg$ invariant integrable model are constructed through the currents of the Yangian doubles of the classical series. These off-shell Bethe ve…
Serre Relations in Yangian Doubles
A. Liashyk, S. Pakuliak, E. Ragoucy
Following the approach of B.~Enriquez~\cite{E} we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest…
Scalar products and norm of Bethe vectors in invariant integrable models
A. Liashyk, S. Pakuliak, E. Ragoucy
We compute scalar products of off-shell Bethe vectors in models with symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, th…
Rectangular Recurrence Relations in and Invariant Integrable Models
Andrii Liashyk, Stanislav Pakuliak, Eric Ragoucy
A new method is introduced to derive general recurrence relations for off-shell Bethe vectors in quantum integrable models with either type or type $\mathfrak{o}_…
Master equation for correlation functions in algebra symmetry related models
Arthur Hutsalyuk, Andrii Liashyk
We consider integrable models solved by the nested algebraic Bethe ansatz and associated with or algebra symmetry. The analogue of sum formu…
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…
On Bethe vectors in -invariant integrable models
A. Liashyk, N. A. Slavnov
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We study a new recently proposed approach…
Current presentation for the double super-Yangian and Bethe vectors
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We find Bethe vectors for quantum integrable models associated with the supersymmetric Yangians in terms of the current generators of the Yangian double $DY(…
Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We study integrable models solvable by the nested algebraic Bethe ansatz and described by or superalgebras. We obtain explicit determinant…
Scalar products of Bethe vectors in models with symmetry 2. Determinant representation
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We study integrable models with symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vec…
Scalar products of Bethe vectors in models with symmetry 1. Super-analog of Reshetikhin formula
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We study scalar products of Bethe vectors in integrable models solvable by nested algebraic Bethe ansatz and possessing symmetry. Using explicit formulas of th…
Multiple Actions of the Monodromy Matrix in -Invariant Integrable Models
Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak +2
We study symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the…