Abstract
We use holography in conjunction with recent results from supersymmetric localization to compute certain thermal observables for 3d \( \mathcal{N} \) = 2 holographic SCFTs arising on the worldvolume of N M2-branes. We obtain results for the thermal free energy density on S1 × ℝ2, the Casimir energy on T2 × ℝ, and the three leading coefficients in the large temperature limit of the free energy on S1 × S2 valid to subleading order in the large N limit. As a byproduct of our holographic analysis we also present a conjecture for the structure of the large temperature expansion of the thermal free energy of general 3d CFTs on S1 × S2.
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Acknowledgments
We are grateful to Nathan Benjamin, Anthony Charles, Kiril Hristov, Zohar Komargodski, Eric Perlmutter, Silviu Pufu, and Yifan Wang for useful 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 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., Hong, J. & Reys, V. Holographic thermal observables and M2-branes. J. High Energ. Phys. 2023, 54 (2023). https://doi.org/10.1007/JHEP12(2023)054
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DOI: https://doi.org/10.1007/JHEP12(2023)054