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- W4300665763 abstract "The entanglement and R'{e}nyi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT correspondence, to the Wald entropy of topological black holes. Here we extend this idea by taking into account corrections to the Wald entropy. Using the method based on horizon symmetries and the asymptotic Cardy formula, we calculate corrections to the Wald entropy and find that these corrections are proportional to the logarithm of horizon area. With the corrected black hole entropy expression, we then find corrections to the R'{e}nyi entropies. We calculate these corrections for both Einstein as well as Gauss-Bonnet gravity duals. Corrections with logarithmic dependence on the area of the entangling surface naturally occur at the order $G_{D}^0$ and it seems to be a general feature of entanglement and R'{e}nyi entropies for CFTs with gravity duals. In particular, there is a logarithmic correction to the entropy in odd boundary spacetime dimensions as well." @default.
- W4300665763 created "2022-10-04" @default.
- W4300665763 creator A5002502635 @default.
- W4300665763 date "2016-09-09" @default.
- W4300665763 modified "2023-10-18" @default.
- W4300665763 title "Logarithmic Black Hole Entropy Corrections and Holographic R'enyi Entropy" @default.
- W4300665763 doi "https://doi.org/10.48550/arxiv.1609.02850" @default.
- W4300665763 hasPublicationYear "2016" @default.
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