Toward an effective CFT2 from N = 4 super Yang-Mills and aspects of Hawking radiation

Using N = 4 supersymmetric Yang-Mills theory we recover important aspects of the near-extremal thermodynamics of AdS₅ black holes including both the outer and the inner horizons with their corresponding entropy and energy. This N = 4 supersymmetric Yang-Mills theory approach to black hole thermodynamics leads to an effective CFT₂ interpretation similar to the work by Callan and Maldacena. We corroborate this effective CFT₂ by implementing a particular near-horizon limit that geometrizes the Virasoro algebras as asymptotic symmetries. Using the effective CFT₂ picture, we discuss aspects of the Hawking radiation rate for a region of the near-extremal AdS₅ black hole quantum evolution.