This article is cited in 17 papers

Highest coefficient of scalar products in $SU(3)$-invariant integrable models

S. Belliard^a, S. Pakuliak^bcd, E. Ragoucy^e, N. A. Slavnov<sup>f

a</sup> Université Montpellier 2, Laboratoire Charles Coulomb, UMR 5221, F-34095 Montpellier, France
^b Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
^c Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow region, Russia
^d Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia
^e Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, F-74941 Annecy-le-Vieux Cedex, France
^f Steklov Mathematical Institute, Moscow, Russia

Abstract: We study $SU(3)$-invariant integrable models solvable by nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed in terms of a bilinear combination of their highest coefficients. We obtain various different representations for the highest coefficient in terms of sums over partitions. We also obtain multiple integral representations for the highest coefficient.

Received: 05.07.2012
Accepted: 12.08.2012

Language: English

DOI: 10.1088/1742-5468/2012/09/P09003

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