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<p>The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra <i>U</i><sub><i>q</i></sub>(<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25528_Article_IEq1.gif" Format="GIF" Height="24" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>A</mi> <mn>2</mn> <mfenced close=")" open="("> <mn>2</mn> </mfenced> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {A}_2^{(2)} \)</EquationSource> </InlineEquation>) symmetry. Applying the <i>t</i>-<i>W</i> method, we derive the homogeneous zeroes Bethe ansatz equations and the corresponding zeroes 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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月13日

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  • Pengcheng Lu,
  • Junpeng Cao,
  • Wen-Li Yang,
  • Ian Marquette,
  • Yao-Zhong Zhang

摘要

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra Uq( A 2 2 \( {A}_2^{(2)} \) ) symmetry. Applying the t-W method, we derive the homogeneous zeroes Bethe ansatz equations and the corresponding zeroes 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.