Fluid Dynamics of NSR Strings

TL;DR

This paper establishes a novel connection between superstring theory with fluctuating D-branes and fluid dynamics, showing that string modes obey Navier-Stokes-like equations with D-brane fields acting as fluid variables.

Contribution

It demonstrates an isomorphism between off-shell superstring theory with fluctuating branes and fluid mechanics, linking string fields to fluid dynamic quantities.

Findings

D-brane U(1) field corresponds to fluid velocity

Dilaton acts as a passive scalar in turbulence

Proposes a theoretical equivalence between string theory and fluid dynamics

Abstract

We show that the renormalization group flows of the massless superstring modes in the presence of fluctuating D-branes satisfy the equations of fluid dynamics.In particular, we show that the D-brane's U(1) field is related to the velocity function in the Navier-Stokes equation while the dilaton plays the role of the passive scalar advected by the turbulent flow. This leads us to suggest a possible isomorphism between the off-shell superstring theory in the presence of fluctuating branes and the fluid mechanical degrees of freedom.