Toward an Effective CFT$_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation

Jun Nian; Leopoldo A. Pando Zayas

doi:10.1007/JHEP07(2020)120

paper

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

arXiv:2003.02770 · doi:10.1007/JHEP07(2020)120

Abstract

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.

26 pages, 1 figure; V2: Sec 4.2 expanded with details, and more references added; V3: A figure clarifying the supersymmetric and the extremal conditions is inserted. An alternative streamlined computation of the right central charge is now included. Results unchanged

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

Abstract

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Toward an Effective CFT2​ from N=4 Super Yang-Mills and Aspects of Hawking Radiation

Abstract

References in corpus (8)

Cited by in corpus (11)

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