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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.12540 |
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| _version_ | 1866913995974246400 |
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| author | Sergeev, Sergey |
| author_facet | Sergeev, Sergey |
| contents | In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following features:
- It produces a complete set of integrals of motion,
- Its ingredients can be seen as an auxiliary problem for $3d$ Kuniba-Okado reflection matrix,
- The model obtained has no quantum group interpretation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12540 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On integrability of a $q$-oscillator lattice with a $B$-boundary Sergeev, Sergey Mathematical Physics 17B37, 17B38 In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following features: - It produces a complete set of integrals of motion, - Its ingredients can be seen as an auxiliary problem for $3d$ Kuniba-Okado reflection matrix, - The model obtained has no quantum group interpretation. |
| title | On integrability of a $q$-oscillator lattice with a $B$-boundary |
| topic | Mathematical Physics 17B37, 17B38 |
| url | https://arxiv.org/abs/2508.12540 |