Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
Sudipta Mukherji, Shesansu Sekhar Pal
TL;DR
This paper computes logarithmic corrections to black hole entropy in five-dimensional AdS space due to fluctuations and compares these with boundary gauge theory predictions via AdS/CFT, including rotating black holes.
Contribution
It provides the first detailed calculation of thermodynamic fluctuation corrections to black hole entropy in five-dimensional AdS space and their correspondence with gauge theory results.
Findings
Logarithmic entropy corrections are derived for AdS-Schwarzschild black holes.
The corrections match predictions from boundary gauge theories.
The analysis is extended to rotating black holes in AdS space.
Abstract
We calculate the correction to the Bekenstein-Hawking entropy formula for five dimensional AdS-Schwarzschild black holes due to thermodynamic fluctuations. The result is then compared with the boundary gauge theory entropy corrections via AdS/CFT correspondence. We then further generalise our analysis for the rotating black hole in five dimensional AdS space.
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