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Bethe Ansatz and Bethe Vectors Scalar Products
Published 7 Dec 2010 in math-ph, cond-mat.str-el, and math.MP | (1012.1455v2)
Abstract: An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_3)$ 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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