Bethe vectors are found for quantum integrable models associated with the supersymmetric
Yangians $ Y (\mathfrak {gl}(m| n) $ in terms of the current generators of the Yangian double …

A bstract We conjecture a new way to construct eigenstates of integrable XXX quantum spin
chains with SU (N) symmetry. The states are built by repeatedly acting on the vacuum with a …

This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …

Abstract We study SU (3)-invariant integrable models solvable by a nested algebraic Bethe
ansatz. We obtain a determinant representation for the particular case of scalar products of …

A bstract We show that the scalar products of on-shell and off-shell Bethe vectors in the
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable
models with a $\mathfrak {gl} _3 $-invariant $ R $-matrix as the basic example, however, we …

Abstract We study SU (3)-invariant integrable models solvable by a nested algebraic Bethe
ansatz. We obtain determinant representations for form factors of diagonal entries of the …

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe
vectors) for tensor products of irreducible evaluation modules over the Yangian $ Y …

Using the framework of the quantum separation of variables (SoV) for higher rank quantum
integrable lattice models [1], we introduce some foundations to go beyond the obtained …

We apply our new approach of quantum Separation of Variables (SoV) to the complete
characterization of the transfer matrix spectrum of quantum integrable lattice models …