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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 094, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.094 (Mi sigma552) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Universal Bethe Ansatz and Scalar Products of Bethe Vectors

Samuel Belliarda, Stanislav Pakuliakbcd, Eric Ragoucyef

a 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
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DOI: https://doi.org/10.3842/SIGMA.2010.094
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.
Received: October 25, 2010; Published online December 14, 2010
Bibliographic databases:
Document Type: Article
MSC: 17B37; 81R50
Language: English
Citation: Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy, “Universal Bethe Ansatz and Scalar Products of Bethe Vectors”, SIGMA, 6 (2010), 094, 22 pp.
Citation in format AMSBIB
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