A fluid dual to the charged large D membrane paradigm
- 1Indian Institute of Technology (Indian School of Mines) Dhanbad
Abstract
A bstract : 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
@article{halder2026fluid,
title = {{A fluid dual to the charged large D membrane paradigm}},
author = {Supratim Halder and Manu Kurian and Mangesh Mandlik},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)125},
url = {https://link.springer.com/10.1007/JHEP10(2026)125},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - A fluid dual to the charged large D membrane paradigm
AU - Supratim Halder
AU - Manu Kurian
AU - Mangesh Mandlik
PY - 2026
DA - 2026/10/12
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)125
UR - https://link.springer.com/10.1007/JHEP10(2026)125
AB - A bstract : 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.
SN - 1029-8479
ER -