Toward an Effective CFT$_2$ from $\mathcal{N}=4$ 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 AdS $_{5}$ 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 CFT $_{2}$ interpretation similar to the work by Callan and Maldacena. We corroborate this effective CFT $_{2}$ by implementing a particular near-horizon limit that geometrizes the Virasoro algebras as asymptotic symmetries. Using the effective CFT $_{2}$ picture, we discuss aspects of the Hawking radiation rate for a region of the near-extremal AdS $_{5}$ black hole quantum evolution.

Toward an Effective CFT $_{2}$ from $N = 4$ Super Yang-Mills and Aspects of Hawking Radiation

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Toward an Effective CFT $_{2}$ from $N = 4$ Super Yang-Mills and Aspects of Hawking Radiation

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Toward an Effective CFT22​ from N=4N=4 Super Yang-Mills and Aspects of Hawking Radiation

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Toward an Effective CFT22​ from N=4N=4 Super Yang-Mills and Aspects of Hawking Radiation

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Toward an Effective CFT $_{2}$ from $N = 4$ Super Yang-Mills and Aspects of Hawking Radiation

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Toward an Effective CFT $_{2}$ from $N = 4$ Super Yang-Mills and Aspects of Hawking Radiation

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