On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons
Abstract 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 S $$ \mathcal{S} $$ 4d N $$ \mathcal{N}...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)010 |
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| author | Hee-Cheol Kim Anton Nedelin Shlomo S. Razamat |
| author_facet | Hee-Cheol Kim Anton Nedelin Shlomo S. Razamat |
| author_sort | Hee-Cheol Kim |
| collection | DOAJ |
| description | Abstract We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of A N Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class S $$ \mathcal{S} $$ 4d N $$ \mathcal{N} $$ = 2 theories with the insertion of surface defects. Second approach uses computations of Nekrasov-Shatashvili limit of 5d N $$ \mathcal{N} $$ = 1* instanton partition functions in the presence of co-dimension two defect. We compare results of these two approaches for the low-lying levels of Ruijsenaars-Schneider model. We also discuss different previously proposed exact quantization conditions for the Coulomb branch parameters of the instanton partition functions and their interpretations in terms of index calculations. |
| format | Article |
| id | doaj-art-834711cc53eb419cb706dc1c04e0f19b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-834711cc53eb419cb706dc1c04e0f19b2025-02-09T12:08:30ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213010.1007/JHEP02(2025)010On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantonsHee-Cheol Kim0Anton Nedelin1Shlomo S. Razamat2Department of Physics, POSTECHDepartment of Mathematics, King’s College LondonDepartment of Physics, TechnionAbstract We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of A N Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class S $$ \mathcal{S} $$ 4d N $$ \mathcal{N} $$ = 2 theories with the insertion of surface defects. Second approach uses computations of Nekrasov-Shatashvili limit of 5d N $$ \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.https://doi.org/10.1007/JHEP02(2025)010Integrable HierarchiesSupersymmetric Gauge Theory |
| spellingShingle | Hee-Cheol Kim Anton Nedelin Shlomo S. Razamat On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons Journal of High Energy Physics Integrable Hierarchies Supersymmetric Gauge Theory |
| title | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| title_full | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| title_fullStr | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| title_full_unstemmed | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| title_short | On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons |
| title_sort | on ruijsenaars schneider spectrum from superconformal indices and ramified instantons |
| topic | Integrable Hierarchies Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP02(2025)010 |
| work_keys_str_mv | AT heecheolkim onruijsenaarsschneiderspectrumfromsuperconformalindicesandramifiedinstantons AT antonnedelin onruijsenaarsschneiderspectrumfromsuperconformalindicesandramifiedinstantons AT shlomosrazamat onruijsenaarsschneiderspectrumfromsuperconformalindicesandramifiedinstantons |