Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913840121249792 |
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| author | Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong |
| author_facet | Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong Mathematical Physics 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. |
| title | Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2407.21258 |