On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914866964463616 |
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| author | Kim, Hee-Cheol Nedelin, Anton Razamat, Shlomo S. |
| author_facet | Kim, Hee-Cheol Nedelin, Anton Razamat, Shlomo S. |
| contents | We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of $A_N$ Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class $\mathcal{S}$ $4d$ ${\mathcal N}=2$ theories with the insertion of surface defects. Second approach uses computations of Nekrasov-Shatashvili limit of $5d$ ${\mathcal N} = 1^*$ instanton partition functions in the presence of co-dimension two defect. We compare results of these two approaches for the low-lying levels of Ruijsenaars-Schneider model. We also discuss different previously proposed exact quantization conditions for the Coulomb branch parameters of the instanton partition functions and their interpretations in terms of index calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons Kim, Hee-Cheol Nedelin, Anton Razamat, Shlomo S. High Energy Physics - Theory Mathematical Physics We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of $A_N$ Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class $\mathcal{S}$ $4d$ ${\mathcal N}=2$ theories with the insertion of surface defects. Second approach uses computations of Nekrasov-Shatashvili limit of $5d$ ${\mathcal N} = 1^*$ instanton partition functions in the presence of co-dimension two defect. We compare results of these two approaches for the low-lying levels of Ruijsenaars-Schneider model. We also discuss different previously proposed exact quantization conditions for the Coulomb branch parameters of the instanton partition functions and their interpretations in terms of index calculations. |
| title | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2407.08776 |