Baxterization for the dynamical Yang-Baxter equation
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916099762683904 |
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| author | Ren, Muze |
| author_facet | Ren, Muze |
| contents | The Baxterization process for the dynamical Yang-Baxter equation is studied. We introduce the local dynamical Hecke ,Temperley-Lieb and Birman-Murakami-Wenzl operators, then by inserting spectral parameters, from each representation of these operators, we get dynamical R matrix under some conditions. As applications, we reformulate trigonometric degeneration of elliptic quantum group representations and also get dynamical R matrix for critical ADE integrable lattice models. Through Baxterization, we construct some one dimensional integrable systems that are dynamical version of the Heisenberg spin chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04728 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Baxterization for the dynamical Yang-Baxter equation Ren, Muze Representation Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems 17B37 The Baxterization process for the dynamical Yang-Baxter equation is studied. We introduce the local dynamical Hecke ,Temperley-Lieb and Birman-Murakami-Wenzl operators, then by inserting spectral parameters, from each representation of these operators, we get dynamical R matrix under some conditions. As applications, we reformulate trigonometric degeneration of elliptic quantum group representations and also get dynamical R matrix for critical ADE integrable lattice models. Through Baxterization, we construct some one dimensional integrable systems that are dynamical version of the Heisenberg spin chain. |
| title | Baxterization for the dynamical Yang-Baxter equation |
| topic | Representation Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems 17B37 |
| url | https://arxiv.org/abs/2310.04728 |