Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

Abstract

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 $U_q({\mathfrak{gl}}_N)$-invariant $R$-matrices. The action formulas allow to get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

References in corpus (1)

• On the R-matrix realization of quantum loop algebras

Cited by in corpus (3)

• On exact overlaps for $\mathfrak{gl}(N)$ symmetric spin chains
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models
• Multiple commutation relations of the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_N)$, nested Bethe vector and the Gelfand-Tsetlin basis