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Autores principales: Goutéraux, Blaise, Ramirez, David M., Supiot, Clément
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2512.19642
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author Goutéraux, Blaise
Ramirez, David M.
Supiot, Clément
author_facet Goutéraux, Blaise
Ramirez, David M.
Supiot, Clément
contents Near-AdS$_2$ spacetimes are controlled by a Schwarzian effective dual theory. The Kaluza-Klein reduction of higher-dimensional black holes shows that the Schwarzian generates a logarithmic contribution to the entropy, thereby resolving a long-standing puzzle in near-extremal black hole thermodynamics. Here, we leverage exact results for quantum-corrected, Schwarzian scalar correlation functions in order to evaluate the impact of bulk quantum fluctuations on the low-temperature shear correlators of the state dual to Reissner-Nordström-AdS$_4$ black holes with a flat, compact horizon. In the hydrodynamic regime, we find that quantum fluctuations tend to increase the shear viscosity away from $s/(4π)$, thereby preserving the Kovtun-Son-Starinets bound. Outside the hydrodynamic regime, quantum fluctuations lift the zero temperature, classical gapless modes reported in previous literature.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19642
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordström-AdS black hole
Goutéraux, Blaise
Ramirez, David M.
Supiot, Clément
High Energy Physics - Theory
Near-AdS$_2$ spacetimes are controlled by a Schwarzian effective dual theory. The Kaluza-Klein reduction of higher-dimensional black holes shows that the Schwarzian generates a logarithmic contribution to the entropy, thereby resolving a long-standing puzzle in near-extremal black hole thermodynamics. Here, we leverage exact results for quantum-corrected, Schwarzian scalar correlation functions in order to evaluate the impact of bulk quantum fluctuations on the low-temperature shear correlators of the state dual to Reissner-Nordström-AdS$_4$ black holes with a flat, compact horizon. In the hydrodynamic regime, we find that quantum fluctuations tend to increase the shear viscosity away from $s/(4π)$, thereby preserving the Kovtun-Son-Starinets bound. Outside the hydrodynamic regime, quantum fluctuations lift the zero temperature, classical gapless modes reported in previous literature.
title Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordström-AdS black hole
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.19642