Abstract
Understanding how the thermodynamic properties of a black hole are modified when probed by D-branes is an important problem in AdS/CFT. This work focuses on a recently proposed black hole/D3-brane system in AdS5×S5, which is dual to four-dimensional \( \mathcal{N} \) = 4 SYM in the presence of a two-dimensional surface defect. The Laplace transform that extracts the asymptotic growth of states in this defect CFT naturally defines a thermodynamic approach in the gravitational side of the duality for which charges and entropy are real. Studying the superconformal defect index in a large-charge expansion for all values of N, we compute the leading correction to the entropy of the combined system, which matches precisely with its gravity counterpart.
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Acknowledgments
We thank Davide Cassani, Robie Hennigar and Enrico Turetta for fruitful for discussions. MD is supported in part by the Odysseus grant (G0F9516N Odysseus) from the as well as the Postdoctoral Fellows of the Research Foundation - Flanders grant (1235324N). AGL is supported by an appointment to the JRG Program at the APCTP through the Science and Technology Promotion Fund and Lottery Fund of the Korean Government, by the Korean Local Governments — Gyeongsangbuk-do Province and Pohang City, and by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2021R1F1A1048531). The authors would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Black holes: bridges between number theory and holographic quantum information where work on this paper was undertaken. This work was supported by EPSRC grant no EP/R014604/1.
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Cabo-Bizet, A., David, M. & González Lezcano, A. Thermodynamics of black holes with probe D-branes. J. High Energ. Phys. 2024, 193 (2024). https://doi.org/10.1007/JHEP06(2024)193
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DOI: https://doi.org/10.1007/JHEP06(2024)193