Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordström-AdS black hole
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911332936187904 |
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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 |