Entanglement Entropy of $AdS_5 \times S^5$ with massless flavors at non-zero temperature

TL;DR

This paper investigates how entanglement entropy behaves in a backreacted $AdS_5 imes S^5$ geometry with massless flavors at finite temperature, revealing a phase transition near the event horizon.

Contribution

It provides a detailed analysis of entanglement entropy in a flavored, finite-temperature holographic setup, highlighting a phase transition related to minimal surface configurations.

Findings

Existence of a phase transition in entanglement entropy near the event horizon.

Sign change in the difference between connected and disconnected minimal surface entropies.

Behavior of entanglement entropy influenced by backreaction and temperature.

Abstract

We consider backreacted $AdS_5 \times S^5$ coupled with $N_f$ massless flavors introduced by D7-branes at non-zero temperature. The backreacted geometry is in the Veneziano limit. The temperature of this system is related to the event horizon at $r_h$. Dividing one of the spatial directions into a line segment with length $l$, we will calculate the entanglement entropy between the two subspaces. We study the behavior near the event horizon, and finally find that there exists phase transition phenomenon near the event horizon since the difference between the entanglement entropy of the connected minimal surface and the disconnected one changes sign.