Bethe Ansatz and Bethe Vectors Scalar Products

Details Bethe Ansatz and Bethe Vectors Scalar Products Bethe Ansatz and Bethe Vectors Scalar Products

2010-12-07

arxiv.org/abs/1012.1455v2

SIGMA 6 (2010), 094, 22 pages

Physics

Mathematical Physics

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

Scientific paper

10.3842/SIGMA.2010.094

An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_3)$ 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 $U_q(\hat{\mathfrak{gl}}_3)$.

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