Black Hole Evaporation, Quantum Hair and Supertranslations

Abstract

In a black hole, hair and quantum information retrieval are interrelated phenomena. The existence of any new form of hair necessarily implies the existence of features in the quantum-mechanically evaporated radiation. Classical supertranslation hair can be only distinguished from global diffeomorphisms if we have access to the interior of the black hole. Indirect information on the interior can only be obtained from the features of the quantum evaporation. Supertranslations $(T^{-},T^{+})\in BM{S}_{-}\otimes BM{S}_{+}$ can be used as bookkepers of the probability distributions of the emitted quanta where the first element describes the classical injection of energy and the second one is associated to quantum-mechanical emission. The connection between $T^{-}$ and $T^{+}$ is determined by the interior quantum dynamics of the black hole. We argue that restricting to the diagonal subgroup is only possible for decoupled modes, which do not bring any non-trivial information about the black hole interior and therefore do not constitute physical hair. We show that this is also true for gravitational systems without horizon, for which both injection and emission can be described classically. Moreover, we discuss and clarify the role of infrared physics in purification.

arXiv comment36 pages, 3 figures; v2: expanded discussion of antipodal conservation laws and soft IR-modes, matches published version

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• The Scales of the Infrared
• Supertranslation Hair of Schwarzschild Black Hole: A Wilson Line Perspective
• Are non-vacuum states much relevant for retrieving shock wave memory of spacetime?
• Super-Hawking Radiation
• AdS Asymptotic Symmetries from CFT Mirrors
• Shock wave quantum memory in shocked detector