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

Mathematical Physics 2015-09-07 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1206.4931,
  title  = {Highest coefficient of scalar products in SU(3)-invariant integrable models},
  author = {S. Belliard and S. Pakuliak and E. Ragoucy and N. A. Slavnov},
  journal= {arXiv preprint arXiv:1206.4931},
  year   = {2015}
}

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17 pages