4 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…
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}_…
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…