The SUSY index beyond the Cardy limit

DOI10.1007/JHEP01(2024)111arXiv2212.11925OpenAlexW4391045789WikidataQ129670436 ScholiaQ129670436MaRDI QIDQ6118022

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Publication date: 20 March 2024

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Abstract: We analyze a set of contributions to the superconformal index of 4d $mathcalN=4$ $SU(N)$ super Yang-Mills using the Bethe Ansatz approach. These contributions dominate at the large $N$ limit, where their leading order in $N$ reproduces various supersymmetric Euclidean black hole saddles in the dual theory, and they also dominate for finite $N$ in high temperature Cardy-like limits. We compute the $O(N^0)$ terms, including those exponentially suppressed in the Cardy limit, and show that there are no $1/N$ corrections beyond them. Under certain assumptions, it implies that the gravitational perturbative series around these black hole saddles is 1-loop exact.

Full work available at URL: https://arxiv.org/abs/2212.11925

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