Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 094, 22 pages      arXiv:1012.1455      https://doi.org/10.3842/SIGMA.2010.094
Contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”

Universal Bethe Ansatz and Scalar Products of Bethe Vectors

Samuel Belliard a, Stanislav Pakuliak b and Eric Ragoucy c
a) Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Italy
b) Institute of Theoretical & Experimental Physics, 117259 Moscow, Russia
    Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg., Russia
    Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow reg., Russia
c) Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, 74941 Annecy-le-Vieux Cedex, France

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

Abstract
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(^gl3) 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(^gl3).

Key words: Bethe ansatz; quantum affine algebras.

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