Hydrodynamic Regimes of Spinning Black D3-Branes

TL;DR

This paper develops a long-wavelength effective theory for non-extremal spinning black D3-branes, revealing their connection to charged fluid dynamics and anomaly-induced transport, bridging blackfold, fluid/gravity, and Rindler regimes.

Contribution

It introduces a new effective field theory for spinning D3-branes with a Dirichlet cut-off, capturing their hydrodynamic behavior and anomaly effects, extending previous blackfold and fluid/gravity studies.

Findings

Hydrodynamic transport coefficients calculated to first order.

Near-horizon limit reproduces ${\

The system interpolates between blackfold, fluid/gravity, and Rindler fluid dynamics.

Abstract

We present the long-wavelength effective description of non-extremal spinning black D3-branes in flat space. Our setup is motivated by recent explorations of low energy dynamics on black brane world-volumes within the blackfold approach and its connections to the fluid/gravity correspondence. The spinning D3-branes with a rigid radial Dirichlet cut-off give rise to an effective field theory. This theory describes a charged plasma which is driven by external forces, given by one vector and two scalar operators. Furthermore, the flavour charge of this plasma is anomalous, allowing us to examine features of anomaly-induced transport in the blackfold context. We calculate the hydrodynamic transport coefficients to first order and show that in the near-horizon limit, they reproduce the conformal charged fluid dynamics of ${\cal N}=4$ Super Yang-Mills theory. More generally the system interpolates smoothly between the blackfold, fluid/gravity, and Rindler fluid dynamics.