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arXiv · 2407.21258

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

Pengcheng Lu·Junpeng Cao·Wen-Li Yang·Ian Marquette·Yao-Zhong Zhang
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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.

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Pengcheng Lu, Junpeng Cao, Wen-Li Yang, Ian Marquette, Yao-Zhong Zhang. 2024-07-31. Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields. https://doi.org/10.1007/jhep02(2025)087

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