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arXiv · 2307.08391

S-duality in the Cardy-like limit of the superconformal index

Antonio Amariti·Andrea Zanetti
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Abstract

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.

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Antonio Amariti, Andrea Zanetti. 2023-07-17. S-duality in the Cardy-like limit of the superconformal index. https://doi.org/10.1007/jhep02(2024)218

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