46 citations · 302 across the 19 of their papers we have counts for
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Full counting statistics for twisted XXX spin chains
S. Belliard, A. Hutsalyuk
Full counting statistics for an arbitrary spin operator is considered for the twisted XXX spin one-half chain. We use the quantum inverse scattering formalism and the modified alge…
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…
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…
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…