English

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Mathematical Physics 2025-05-19 v2 math.MP

Abstract

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra Uq(A2(2))U_q(A_2^{(2)}) symmetry. Applying the tWt-W method, we derive the homogeneous zero roots Bethe ansatz equations and the corresponding zero root patterns of the Izergin-Korepin model with generic integrable boundaries. Based on these results, we analytically compute the surface energies and boundary excitations in different regimes of boundary parameters of the model. It is shown that in some regimes, correlation effect appears between two boundary fields.

Keywords

Cite

@article{arxiv.2407.21258,
  title  = {Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields},
  author = {Pengcheng Lu and Junpeng Cao and Wen-Li Yang and Ian Marquette and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:2407.21258},
  year   = {2025}
}

Comments

23 pages, 5 figures, 1 table