A fluid dual to the charged large D membrane paradigm
Abstract
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 localised 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. This mechanism provides a hydrodynamic interpretation of thermodynamic stability, effectively translating the previously established quasinormal mode damping of the large-D Reissner-Nordström geometry into the language of fluid dynamics.
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BibTeX
@misc{halder2026fluid,
title = {{A fluid dual to the charged large $D$ membrane paradigm}},
author = {Supratim Halder and Manu Kurian and Mangesh Mandlik},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.15797},
eprint = {2605.15797},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15797},
}
RIS
TY - UNPB
TI - A fluid dual to the charged large D membrane paradigm
AU - Supratim Halder
AU - Manu Kurian
AU - Mangesh Mandlik
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2605.15797
UR - https://arxiv.org/abs/2605.15797
AB - 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 localised 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. This mechanism provides a hydrodynamic interpretation of thermodynamic stability, effectively translating the previously established quasinormal mode damping of the large-D Reissner-Nordström geometry into the language of fluid dynamics.
ER -