A fluid dual to large D membrane paradigm at first subleading order
Abstract
The large D membrane paradigm establishes a duality between the dynamics of black holes and the evolution of a codimension-one timelike membrane in a non-gravitational background. In this work, we formulate the relativistic fluid dynamics dual to an uncharged black hole in asymptotically flat spacetime at the first subleading order in the 1/D expansion. Due to the absence of a timelike asymptotic boundary, unlike in AdS/CFT fluid-gravity duality, we construct an effective fluid intrinsically on the dynamical membrane, whose equations of motion are exactly equivalent to the subleading order membrane equations. By performing this fluid-dynamical analysis in the Landau frame, we show that the system behaves as a fluid influenced by an effective background force. Out-of-equilibrium viscous effects emerge naturally, allowing us to extract the fluid transport coefficients directly from the bulk viscous pressure and shear stress tensor. Furthermore, the fluid exhibits a negative pressure, capturing the intrinsic surface tension of the (D−1)-dimensional membrane worldvolume.
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BibTeX
@misc{halder2026fluid,
title = {{A fluid dual to large $D$ membrane paradigm at first subleading order}},
author = {Supratim Halder and Manu Kurian and Mangesh Mandlik},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15512},
eprint = {2609.15512},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15512},
}
RIS
TY - UNPB
TI - A fluid dual to large D membrane paradigm at first subleading order
AU - Supratim Halder
AU - Manu Kurian
AU - Mangesh Mandlik
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15512
UR - https://arxiv.org/abs/2609.15512
AB - The large D membrane paradigm establishes a duality between the dynamics of black holes and the evolution of a codimension-one timelike membrane in a non-gravitational background. In this work, we formulate the relativistic fluid dynamics dual to an uncharged black hole in asymptotically flat spacetime at the first subleading order in the 1/D expansion. Due to the absence of a timelike asymptotic boundary, unlike in AdS/CFT fluid-gravity duality, we construct an effective fluid intrinsically on the dynamical membrane, whose equations of motion are exactly equivalent to the subleading order membrane equations. By performing this fluid-dynamical analysis in the Landau frame, we show that the system behaves as a fluid influenced by an effective background force. Out-of-equilibrium viscous effects emerge naturally, allowing us to extract the fluid transport coefficients directly from the bulk viscous pressure and shear stress tensor. Furthermore, the fluid exhibits a negative pressure, capturing the intrinsic surface tension of the (D−1)-dimensional membrane worldvolume.
ER -