The three-point Gaudin model and branched coverings of the Riemann sphere
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910478918221824 |
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| author | Amburg, Natalia Tolstukhin, Ilya |
| author_facet | Amburg, Natalia Tolstukhin, Ilya |
| contents | We study the three-point quantum $\mathfrak{sl_2}$-Gaudin model. In this case the compactification of the parameter space is $\overline{M_{0,4}(\mathbb{C})}$, which is the Riemann sphere. We analyze sphere coverings by the joint spectrum of the Gaudin Hamiltonians treating them as algebraic curves. We write equations of these curves as determinants of tridiagonal matrices and deduce some consequences regarding the geometric structure of the Gaudin coverings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The three-point Gaudin model and branched coverings of the Riemann sphere Amburg, Natalia Tolstukhin, Ilya Mathematical Physics Representation Theory 81R12 (Primary), 14H70 (Secondary) We study the three-point quantum $\mathfrak{sl_2}$-Gaudin model. In this case the compactification of the parameter space is $\overline{M_{0,4}(\mathbb{C})}$, which is the Riemann sphere. We analyze sphere coverings by the joint spectrum of the Gaudin Hamiltonians treating them as algebraic curves. We write equations of these curves as determinants of tridiagonal matrices and deduce some consequences regarding the geometric structure of the Gaudin coverings. |
| title | The three-point Gaudin model and branched coverings of the Riemann sphere |
| topic | Mathematical Physics Representation Theory 81R12 (Primary), 14H70 (Secondary) |
| url | https://arxiv.org/abs/2405.16703 |