142 citations · 1.3k across the 62 of their papers we have counts for
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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…
Nested Algebraic Bethe Ansatz in integrable models: recent results
Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov
This short note summarizes the works done in collaboration between S. Belliard (CEA, Saclay), L. Frappat (LAPTh, Annecy), S. Pakuliak (JINR, Dubna), E. Ragoucy (LAPTh, Annecy), N.…
Scalar products and norm of Bethe vectors for integrable models based on
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra…
Norm of Bethe vectors in models with symmetry
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We compute the norm of the Hamiltonian ei…
Scalar products of Bethe vectors in the models with symmetry
A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak +2
We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by superalgebra. Using coproduct properties…
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…
Bethe vectors for models based on the super-Yangian
S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov
We study Bethe vectors of integrable models based on the super-Yangian . Starting from the super-trace formula, we exhibit recursion relations for these vect…
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…
Form factors of local operators in a one-dimensional two-component Bose gas
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We consider a one-dimensional model of a two-component Bose gas and study form factors of local operators in this model. For this aim we use an approach based on the algebraic Beth…
GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix…
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements o…
Zero modes method and form factors in quantum integrable models
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. Assuming that the monodromy matrix of the model can be expande…
Bethe vectors of gl(3)-invariant integrable models, their scalar products and form factors
E. Ragoucy
This short note corresponds to a talk given at "Lie Theory and Its Applications in Physics", (Varna, Bulgaria, June 2013) and is based on joint works with S. Belliard, S. Pakuliak…
Scalar products in models with trigonometric -matrix. General case
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study quantum integrable models with trigonometric -matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obta…
Form factors in quantum integrable models with GL(3)-invariant R-matrix
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. We obtain determinant representations for form factors of off-diag…
Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study quantum integrable models with GL(3) trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed…