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

S. Belliard; S. Pakuliak; E. Ragoucy; N. A. Slavnov

hal-00711112, version 1

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

S. Belliard ¹, S. Pakuliak ², E. Ragoucy ³, N. A. Slavnov ⁴

JSTAT 2012, 09 (2012) P09003

Résumé : 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.

1 : Laboratoire Charles Coulomb (L2C)
CNRS : UMR5221 – Université Montpellier II - Sciences et techniques
2 : Laboratory of Theoretical Physics JINR
Joint Institute of Nuclear Research
3 : Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
CNRS : UMR5108 – Université de Savoie
4 : Steklov Mathematical Institute (SMI)
Russian Academy of Sciences

hal-00711112, version 1
http://hal.archives-ouvertes.fr/hal-00711112
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Contributeur : Eric Ragoucy <>
Soumis le : Vendredi 22 Juin 2012, 14:21:08
Dernière modification le : Mardi 25 Septembre 2012, 14:12:16

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Documents associés

arXiv : 1206.4931

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

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