Universal holographic hydrodynamics at finite coupling

TL;DR

This paper demonstrates that the thermodynamic and hydrodynamic properties of a broad class of superconformal gauge theories exhibit universal behavior at finite coupling, derived from a common five-dimensional supergravity framework.

Contribution

It reveals a universal structure in holographic hydrodynamics for superconformal theories at finite coupling, independent of the compactification geometry.

Findings

Universal corrections to thermodynamics and hydrodynamics are derived from a single supergravity action.

Leading order corrections depend on a quartic Weyl tensor term in five-dimensional supergravity.

The results apply broadly to theories with $AdS_5\times M_5$ dual geometries.

Abstract

We consider thermal plasmas in a large class of superconformal gauge theories described by a holographic dual geometry of the form $AdS_5\times M_5$. In particular, we demonstrate that all of the thermodynamic properties and hydrodynamic transport parameters for a large class of superconformal gauge theories exhibit a certain universality to leading order in the inverse 't Hooft coupling and $1/N_c$. In particular, we show that independent of the compactification geometry, the leading corrections are derived from the same five-dimensional effective supergravity action supplemented by a term quartic in the five-dimensional Weyl tensor.