English

Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case

Mathematical Physics 2015-06-18 v1 High Energy Physics - Theory math.MP

Abstract

We study quantum integrable models with GL(3)GL(3) trigonometric RR-matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obtain an explicit representation for them in terms of a sum with respect to partitions of Bethe parameters. This representation generalizes known formula for the scalar products in the models with GL(3)GL(3)-invariant RR-matrix.

Keywords

Cite

@article{arxiv.1401.4355,
  title  = {Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case},
  author = {S. Pakuliak and E. Ragoucy and N. A. Slavnov},
  journal= {arXiv preprint arXiv:1401.4355},
  year   = {2015}
}

Comments

23 pages