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Résumé |
It has been known for some time now that black holes admit a thermodynamic description. A Euclidean path integral approach due to Gibbons and Hawking also allows for a statistical description of black hole thermodynamics. We will revisit this for black holes in AdS spacetime and derive "well established" results in the literature. In the process, we will encounter certain subtleties in the calculation that have not been given much attention in the past, but can modify our understanding. These subtleties have to do with complex saddles of the path integral. We'll show that there is a possibility that these saddles, if relevant, can mess up our basic expectations of low temperature CFT physics. We will use some modern tools from analysis to show that this does not happen, thus bridging certain gaps in the literature. |
