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

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arxiv 2307.08391 v1 pith:GRQLX5R7 submitted 2023-07-17 hep-th

Antonio Amariti , Andrea Zanetti This is my paper · ORCID
classification hep-th
keywords s-dualitycardy-likegaugeindexlimitsuperconformalalgebracharges
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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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  1. Exact results on the Bethe Ansatz evaluation of the SCI

    hep-th 2025-06 conditional novelty 6.0 of 10

    For the conifold and suspended pinch point quivers with SU(2) gauge groups, the superconformal index computed by the Bethe Ansatz over discrete solutions alone matches the direct matrix-integral evaluation in the test...

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