HOLOTUBE: An effective field theory of stochastic diffusion from gravity

Specialist level
Mukund Rangamani
U. C. Davis



Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. We would like to understand the effective description of this system using an external field that couples to these slow degrees of freedom. Using holography we will construct universal gauge invariant framework which captures the physics of stochastic diffusion. We will argue that  designer scalar with a gravitational coupling governed by a single parameter (the Markovianity index) captures the effective dynamics and reproduces the physics of  diffusive Hawking photons and gravitons. As a corollary we will derive the quadratic effective action that governs fluctuating hydrodynamics of the dual CFT.