Fluid Super-Dynamics from Black Hole Superpartners

TL;DR

This paper extends the fluid/gravity duality by deriving fermionic zero mode corrections to the Navier-Stokes equations from black branes in AdS_5, highlighting the necessity of a superfluid extension within the AdS/CFT framework.

Contribution

It introduces the first-order fermionic zero mode corrections to the Navier-Stokes equations derived from black branes in AdS_5, suggesting a superfluid extension of fluid dynamics.

Findings

Fermionic zero modes modify the Navier-Stokes equations.

Bilinear fermionic contributions are analyzed at first order.

Indicates the need for a superextension of fluid dynamics.

Abstract

Recently the Navier-Stokes equations have been derived from the duality with the black branes in AdS_5. The zero modes of black branes are reinterpreted as dynamical degrees of freedom of a conformal fluid on the boundary of AdS_5. Here, we derive the corrections to the Navier-Stokes equations due to fermionic zero modes of the black branes. We study only the contributions due to bilinears in the fermionic zero modes in the first order of the parameter expansion. The need of a superextension of the fluid dynamics is a consequence of the full AdS/CFT correspondence and yet to be investigated.