Abstract
We study the logarithmic corrections to various CFT partition functions in the context of the AdS4/CFT3 correspondence for theories arising on the worldvolume of M2-branes. We utilize four-dimensional gauged supergravity and heat kernel methods and present general expressions for the logarithmic corrections to the gravitational on-shell action and black hole entropy for a number of different supergravity backgrounds. We outline several subtle features of these calculations and contrast them with a similar analysis of logarithmic corrections performed directly in the eleven-dimensional uplift of a given four-dimensional supergravity background. We find results consistent with AdS/CFT provided that the infinite sum over KK modes on the internal space is regularized in a specific manner. This analysis leads to an explicit expression for the logarithmic correction to the Bekenstein-Hawking entropy of large Kerr-Newmann and Reissner-Nordström black holes in AdS4. Our results also have important implications for effective field theory coupled to gravity in AdS4 and for the existence of scale-separated AdS4 vacua in string theory, which come in the form of new constraints on the field content and mass spectrum of matter fields.
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Acknowledgments
We are grateful to Arash Ardehali, Chris Beem, Alejandro Cabo Bizet, Guillaume Bossard, Alejandra Castro, Richard Eager, Alfredo Gonzalez, Rajesh Kumar Gupta, Kiril Hristov, Zohar Komargodski, Mark Mezei, Eric Perlmutter, Silviu Pufu, Thomas Van Riet, Yifan Wang, and in particular to Ashoke Sen for useful discussions. This research is supported by the FWO projects G003523N, G0E2723N, and G094523N. NB, MD, JH and XZ are also supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005 and by Odysseus grant G0F9516N from the FWO. MD and JH are Postdoctoral Fellows of the Research Foundation - Flanders. VR is supported by a public grant as part of the Investissement d’avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH. NB and VR are grateful to the ENS Paris for warm hospitality during part of this project. VR is partly supported by a Visibilité Scientifique Junior Fellowship from LabEx LMH and is grateful to the CCPP at New York University for hospitality during the final stages of this project.
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Bobev, N., David, M., Hong, J. et al. A compendium of logarithmic corrections in AdS/CFT. J. High Energ. Phys. 2024, 20 (2024). https://doi.org/10.1007/JHEP04(2024)020
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DOI: https://doi.org/10.1007/JHEP04(2024)020