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Black Hole Entropy in AdS/CFT and the Schwinger-Keldysh Formalism
Mrini, Luke
Mrini, Luke
Abstract
The Schwinger-Keldysh formalism for non-equilibrium field theory provides valuable tools for studying the black hole information loss paradox. In particular, there exists a Noether-like procedure to obtain the entropy density of a system by a discrete Kubo-Martin-Schwinger (KMS) variation of the action. Here, this Noether-like procedure is applied to the boundary action of an asymptotically anti-de Sitter (aAdS) black hole spacetime in maximally extended Kruskal coordinates. The result is the Kubo formula for shear viscosity, which is known in theories with an Einstein gravity dual to have a universal, constant ratio with the entropy density and is proportional to the event horizon area. In this way, the Bekenstein-Hawking entropy of a static aAdS black hole is reproduced up to a constant by a self-consistent procedure using symmetry-based, field theoretic arguments.
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2023-05-01
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Physics