Bethe Ansatz and Bethe Vectors Scalar Products

Abstract

An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_3)$ is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a "new" realization of the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_3)$.

SIGMA proceedings of RAQIS'10 (Recent Advances in Quantum Integrable Systems), June 15-18, 2010, LAPTH, Annecy-le-Vieux France

References in corpus (2)

• A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
• On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)