Toward an effective CFT<sub>2</sub> from $ \\mathcal{N} $ = 4 super Yang-Mills and aspects of Hawking radiation

Abstract

Using <inline-formula><alternatives><tex-math>$ \\mathcal{N} $</tex-math><math></math></alternatives></inline-formula>= 4 supersymmetric Yang-Mills theory we recover important aspects of the near-extremal thermodynamics of AdS<sub>5</sub>black holes including both the outer and the inner horizons with their corresponding entropy and energy. This <inline-formula><alternatives><tex-math>$ \\mathcal{N} $</tex-math><math></math></alternatives></inline-formula>= 4 supersymmetric Yang-Mills theory approach to black hole thermodynamics leads to an effective CFT<sub>2</sub> interpretation similar to the work by Callan and Maldacena. We corroborate this effective CFT<sub>2</sub> by implementing a particular near-horizon limit that geometrizes the Virasoro algebras as asymptotic symmetries. Using the effective CFT<sub>2</sub> picture, we discuss aspects of the Hawking radiation rate for a region of the near-extremal AdS<sub>5</sub> black hole quantum evolution.