Shock Waves in Holographic EPR pair

TL;DR

This paper investigates how shock waves on the string worldsheet in a holographic setup influence boundary correlators, providing insights into the ER=EPR conjecture through entangled quark pairs in super Yang-Mills theory.

Contribution

It introduces the effect of shock waves in the holographic dual of entangled quark pairs and explores their implications for the ER=EPR conjecture.

Findings

Shock waves alter boundary correlators significantly.

Energy quanta induce shock waves on the string worldsheet.

Results support the ER=EPR connection in holography.

Abstract

We study real-time correlators for $N=4$ super Yang Mill fields coupled to a pair of entangled quarks using holography, in the setup that energy quanta sent from one quark perturb the quantum state of the fields and affect the other quark. We make the connection with the ER=EPR conjecture by considering the situation when two quarks are uniformly accelerating opposite to each other. The dynamics of quarks, in the gravity dual, is described by the string worldsheet theory, which in this case has the induced metric describing a two-sided AdS black hole, or a wormhole. Energy quanta sent by one of the quarks produce the shock wave on the worldsheet. We find the effect of shock wave on the boundary field correlators and we discuss the consequence for the ER=EPR conjecture.