The Jarzynski Identity and the AdS/CFT Duality

TL;DR

This paper draws an analogy between the Jarzynski identity in non-equilibrium physics and the AdS/CFT duality, proposing new perspectives on the holographic correspondence through RG flow analysis.

Contribution

It introduces a novel analogy between Jarzynski identity and AdS/CFT duality, suggesting new generalizations of the holographic dictionary based on RG flow logic.

Findings

Analogy between Jarzynski identity and AdS/CFT duality established

Potential for Monte Carlo simulations to test the connection

Proposes new generalizations of the AdS/CFT dictionary

Abstract

We point out a remarkable analogy between the Jarzynski identity from non-equilibrium statistical physics and the AdS/CFT duality. We apply the logic that leads to the Jarzynski identity to renormalization group (RG) flows of quantum field theories and then argue for the natural connection with the AdS/CFT duality formula. This application can be in principle checked in Monte Carlo simulations of RG flows. Given the existing generalizations of the Jarzynski identity in non-equilibrium statistical physics, and the analogy between the Jarzynski identity and the AdS/CFT duality, we are led to suggest natural but novel generalizations of the AdS/CFT dictionary.