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20012025
most citedReflection-Transmission Quantum Yang-Baxter Equations

21 citations · 55 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2025★ 3 cited

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…

math.QA2024

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}_…

hep-th2020

Finite -superalgebras and quadratic spacetime supersymmetries

E. Ragoucy, L. A. Yates, P. D. Jarvis

We consider Lie superalgebras under constraints of Hamiltonian reduction, yielding finite -superalgebras which provide candidates for quadratic spacetime superalgebras. These ha…

math.RT2019★ 2 cited

Classical -algebras for centralizers

A. I. Molev, E. Ragoucy

We introduce a new family of Poisson vertex algebras analogous to the classical -algebras. The algebra is assoc…

math-ph2019★ 13 cited

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(\…

math-ph2018★ 12 cited

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…