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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2605.15797 |
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| _version_ | 1866913132081840128 |
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| author | Halder, Supratim Kurian, Manu Mandlik, Mangesh |
| author_facet | Halder, Supratim Kurian, Manu Mandlik, Mangesh |
| contents | According to the formulation of the charged large $D$ membrane paradigm, an arbitrary dynamic black hole solution to a theory of gravity with a $U(1)$ gauge field is dual to the dynamics of a membrane in a non-gravitational background. This membrane is endowed with a stress-energy tensor and a charge current, whose conservation equations govern its dynamics. In this work, we demonstrate that the dynamics of these membrane configurations (at the leading nontrivial order in $1/D$) can be mapped to a relativistic charged fluid. Establishing a correspondence for asymptotically flat black holes with a particular class of fluid systems. Unlike the standard AdS/Hydrodynamics correspondence, this dual fluid does not reside on an asymptotic boundary, but is localized strictly on the non-gravitational membrane worldvolume. By evaluating the system in both the Eckart and Landau frames, we systematically extract the out-of-equilibrium transport coefficients. We find that the fluid is governed by a negative effective thermal conductivity and a negative heat capacity, a mechanism that enforces thermodynamic stability in agreement with the quasinormal mode damping in the large $D$ Reissner-Nordström black hole geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15797 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A fluid dual to charged large D membrane paradigm Halder, Supratim Kurian, Manu Mandlik, Mangesh High Energy Physics - Theory According to the formulation of the charged large $D$ membrane paradigm, an arbitrary dynamic black hole solution to a theory of gravity with a $U(1)$ gauge field is dual to the dynamics of a membrane in a non-gravitational background. This membrane is endowed with a stress-energy tensor and a charge current, whose conservation equations govern its dynamics. In this work, we demonstrate that the dynamics of these membrane configurations (at the leading nontrivial order in $1/D$) can be mapped to a relativistic charged fluid. Establishing a correspondence for asymptotically flat black holes with a particular class of fluid systems. Unlike the standard AdS/Hydrodynamics correspondence, this dual fluid does not reside on an asymptotic boundary, but is localized strictly on the non-gravitational membrane worldvolume. By evaluating the system in both the Eckart and Landau frames, we systematically extract the out-of-equilibrium transport coefficients. We find that the fluid is governed by a negative effective thermal conductivity and a negative heat capacity, a mechanism that enforces thermodynamic stability in agreement with the quasinormal mode damping in the large $D$ Reissner-Nordström black hole geometry. |
| title | A fluid dual to charged large D membrane paradigm |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.15797 |