Entanglement Entropy in Jammed CFTs

TL;DR

This paper constructs gravitational duals to jammed conformal field theories on black hole backgrounds, analyzing entanglement entropy and boundary stress tensors to understand heat flow and quantum correlations at strong coupling.

Contribution

It introduces new solutions for asymptotically AdS spacetimes with Reissner-Nordström boundaries and computes entanglement entropy in these backgrounds, expanding understanding of holographic CFTs on black holes.

Findings

Entanglement entropy varies with black hole temperature.

CFT prevents heat flow from black hole to infinity.

Boundary stress tensor computed for various dimensions.

Abstract

We construct solutions to the Einstein equations for asymptotically locally Anti-de Sitter spacetimes with four, five, and six dimensional Reissner-Nordstr\"om boundary metrics. These spacetimes are gravitational duals to "jammed" CFTs on those backgrounds at infinite N and strong coupling. For these spacetimes, we calculate the boundary stress tensor as well as compute entanglement entropies for ball shaped regions as functions of the boundary black hole temperature $T_{BH}$. From this, we see how the CFT prevents heat flow from the black hole to the vacuum at spatial infinity. We also compute entanglement entropies for a three dimensional boundary black hole using the AdS C-metric. We compare our results to previous work done in similar spacetimes.