Abstract
We study the S1 × \( {\Sigma}_{\mathfrak{g}} \) topologically twisted index and the squashed sphere partition function of various 3d \( \mathcal{N} \) ≥ 2 holographic superconformal field theories arising from M2-branes. Employing numerical techniques in combination with well-motivated conjectures we provide compact closed-form expressions valid to all orders in the perturbative 1/N expansion for these observables. We also discuss the holographic implications of our results for the topologically twisted index for the dual M-theory Euclidean path integral around asymptotically AdS4 solutions of 11d supergravity. In Lorentzian signature this leads to a prediction for the corrections to the Bekenstein-Hawking entropy of a class of static asymptotically AdS4 BPS black holes.
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Acknowledgments
We are grateful to Anthony Charles, Sunjin Choi, Pieter-Jan De Smet, Kiril Hristov, Sameer Murthy, and Xuao Zhang for valuable discussions. This research is supported by the FWO projects G003523N and G094523N. NB and JH are also supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005 and by Odysseus grant G0F9516N from the FWO. VR is supported by a public grant as part of the Investissement d’avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH. NB is grateful to KITP Santa Barbara for the warm hospitality during the final stages of this project. Research at KITP is supported in part by the National Science Foundation under Grant No. NSF PHY-1748958
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Bobev, N., Hong, J. & Reys, V. Large N partition functions of 3d holographic SCFTs. J. High Energ. Phys. 2023, 119 (2023). https://doi.org/10.1007/JHEP08(2023)119
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DOI: https://doi.org/10.1007/JHEP08(2023)119