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

TL;DR

This paper analytically derives surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields using the $t-W$ method, revealing boundary correlation effects in certain regimes.

Contribution

It provides the first analytical computation of surface energies and boundary excitations for the Izergin-Korepin model with generic boundaries.

Findings

Analytical Bethe ansatz equations and zero root patterns derived.

Surface energies and boundary excitations computed explicitly.

Boundary correlation effects identified in specific parameter regimes.

Abstract

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra $U_q(A_2^{(2)})$ symmetry. Applying the $t-W$ 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.