English

On the partition function of the $Sp(2n)$ integrable vertex model

Mathematical Physics 2023-04-26 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

We study the partition function per site of the integrable Sp(2n)Sp(2n) vertex model on the square lattice. We establish a set of transfer matrix fusion relations for this model. The solution of these functional relations in the thermodynamic limit allows us to compute the partition function per site of the fundamental Sp(2n)Sp(2n) representation of the vertex model. In addition, we also obtain the partition function of vertex models mixing the fundamental with other representations.

Keywords

Cite

@article{arxiv.2211.06487,
  title  = {On the partition function of the $Sp(2n)$ integrable vertex model},
  author = {G. A. P. Ribeiro},
  journal= {arXiv preprint arXiv:2211.06487},
  year   = {2023}
}

Comments

26 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2208.08973

R2 v1 2026-06-28T05:42:38.956Z