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arXiv · 2512.19642

Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole

Blaise Goutéraux·David M. Ramirez·Clément Supiot
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Abstract

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-Nordstr\"om-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 $s/(4\pi)$, thereby preserving the Kovtun-Son-Starinets bound. Outside the hydrodynamic regime, quantum fluctuations lift the zero temperature, classical gapless modes reported in previous literature.

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Blaise Goutéraux, David M. Ramirez, Clément Supiot. 2025-12-22. Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole. https://arxiv.org/abs/2512.19642

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