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Bethe Ansatz and Bethe Vectors Scalar Products

preprint2010arXivOpen access
Samuel BelliardStanislav PakuliakEric Ragoucy
cond-mat.str-elmath-phmath.MP
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Abstract

An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(gl^3)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 Uq(gl^3)U_q(\hat{\mathfrak{gl}}_3).

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