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arXiv · 2312.12533

Thermodynamics of black holes with probe D-branes

Alejandro Cabo-Bizet·Marina David·Alfredo González Lezcano
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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 AdS$_5\times$S$^5$, which is dual to four-dimensional 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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Alejandro Cabo-Bizet, Marina David, Alfredo González Lezcano. 2023-12-19. Thermodynamics of black holes with probe D-branes. https://arxiv.org/abs/2312.12533

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