Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · 2609.15512

A fluid dual to large $D$ membrane paradigm at first subleading order

Supratim Halder·Manu Kurian·Mangesh Mandlik
View original source ↗Read source document ↗Export metadata ↓

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.

Explore related subjects

hep-th

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Supratim Halder, Manu Kurian, Mangesh Mandlik. 2026-09-14. A fluid dual to large $D$ membrane paradigm at first subleading order. https://arxiv.org/abs/2609.15512

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Fortuitous Chaos, BPS Black Holes, and Random Matrices

The ``fortuitous'' Bogomol'nyi-Prasad-Sommerfield (BPS) sector states in gauge theory have been argued to furnish a description, through holography, of generic BPS black hole microstates. They are expected to be strongly chaotic, a necessary feature to capture the black hole dynamics. This dovetails nicely with the existence of various random matrix models of JT supergravity with extended supersymmetry, within which the BPS chaos must be contained as a subsector. This paper identifies and studies a simple random matrix model that underlies all known random matrix models of JT supergravity. It is argued that it captures many essential universal features of fortuitous BPS chaos. The model is topological, naturally interpolating between the Bessel and Airy models, where the gap energy $E_0$ controls the interpolation, and seems to have a simple intersection theory interpretation.

hep-th↗
arXiv2026

Introduction to Generalized Symmetries

These notes were prepared for a series of intensive lectures delivered at Hokkaido University, Nagoya University, Kyoto University, and Kyushu University. We begin with a brief review of higher-form symmetries, anomalies, and discrete gauge theories, before introducing non-invertible symmetries in $(1+1)$-dimensional systems. The basic structure of fusion categories is then discussed, including a discussion of categorical analogs of discrete gauging and representation theory. We subsequently turn to $(3+1)$-dimensional theories, where several physical applications of non-invertible symmetries are discussed. These notes are intended to be largely self-contained, and require no prior familiarity with subjects such as conformal field theory or lattice models.

hep-th↗
arXiv2026

Planar loop integrands from cuts in $D$ dimensions

We present a direct reconstruction formula for planar loop integrands from $D$-dimensional generalized unitarity cuts in any colored theory. The reconstruction combinatorics is separated from the theory-dependent tree amplitudes entering the cuts: for the $L$-loop $n$-point color-ordered amplitude, the integrand is expressed as a sum over admissible non-scaleless scalar graphs dressed by corresponding cuts in $D$ dimensions; the coefficients are given by the universal Möbius-inversion formula of the refinement poset, or equivalently one minus the Euler characteristics of associated complexes. As an application we write down closed-formulas for loop integrands in pure Yang--Mills theory, where the required cuts are generated by gluing $D$-dimensional tree amplitudes and summing over internal gluon states. We also use the two-loop five-point case as a validation, comparing with known integrand data and after integration-by-parts reduction, with known integrated helicity amplitudes. The same framework also produces compact cut-organized data for larger examples, including the two-loop six-point and three-loop four-point cases. We also describe the corresponding simplification in maximally supersymmetric Yang--Mills theory, where the absence of bubble and triangle subgraphs reduces the relevant cut poset substantially.

hep-th↗