English

Modified rational six vertex model on the rectangular lattice

Mathematical Physics 2024-01-10 v2 Statistical Mechanics math.MP Quantum Physics

Abstract

We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determinant. The proofs are based on the quantum inverse scattering method and its representation theory together with elementary linear algebra.

Keywords

Cite

@article{arxiv.2310.05850,
  title  = {Modified rational six vertex model on the rectangular lattice},
  author = {S. Belliard and R. A. Pimenta and N. A. Slavnov},
  journal= {arXiv preprint arXiv:2310.05850},
  year   = {2024}
}

Comments

20 pages, 7 figures, to appear in SciPost, V2 typos corrected

R2 v1 2026-06-28T12:44:51.444Z