S-duality in the Cardy-like limit of the superconformal index
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929303492493312 |
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| author | Amariti, Antonio Zanetti, Andrea |
| author_facet | Amariti, Antonio Zanetti, Andrea |
| contents | We evaluate the superconformal index of 4d $\mathcal{N}=4$ SYM with gauge algebra $so(2N_c+1)$ in the Cardy-like limit. We then study the relation with the results obtained for the S-dual $usp(2N_c)$, discussing the fate of S-duality in different regions of charges. We find that S-duality is preserved thanks to a non-trivial integral identity that relates the three sphere partition functions of pure 3d Chern-Simons gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08391 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | S-duality in the Cardy-like limit of the superconformal index Amariti, Antonio Zanetti, Andrea High Energy Physics - Theory We evaluate the superconformal index of 4d $\mathcal{N}=4$ SYM with gauge algebra $so(2N_c+1)$ in the Cardy-like limit. We then study the relation with the results obtained for the S-dual $usp(2N_c)$, discussing the fate of S-duality in different regions of charges. We find that S-duality is preserved thanks to a non-trivial integral identity that relates the three sphere partition functions of pure 3d Chern-Simons gauge theories. |
| title | S-duality in the Cardy-like limit of the superconformal index |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2307.08391 |