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 $$ \mathcal{N}...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2025)010 |
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| Summary: | Abstract We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of A N Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class S $$ \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. |
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| ISSN: | 1029-8479 |