This article is cited in 17 papers

Universal Bethe Ansatz and Scalar Products of Bethe Vectors

Samuel Belliard^a, Stanislav Pakuliak^bcd, Eric Ragoucy<sup>ef

a</sup> Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Italy
^b Institute of Theoretical \& Experimental Physics, 117259 Moscow, Russia
^c Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow reg., Russia
^d Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg., Russia
^e CNRS and Université de Savoie
^f Laboratoire de Physique Théorique LAPTH, BP 110, 74941 Annecy-le-Vieux Cedex, France

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 $U_q(\widehat{\mathfrak{gl}}_3)$.

Keywords: Bethe ansatz; quantum affine algebras.

MSC: 17B37; 81R50

Received: October 25, 2010; Published online December 14, 2010

Language: English

DOI: 10.3842/SIGMA.2010.094

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ArXiv: 1012.1455