Holographic Entanglement Entropy in Boundary Quantum Field Theory

TL;DR

This paper investigates holographic entanglement entropy in boundary quantum field theories at various temperatures, analyzing phase diagrams, verifying inequalities, and illustrating entanglement plateaus using holographic methods.

Contribution

It provides a detailed analysis of phase diagrams and entanglement properties in boundary QFTs at different temperatures, expanding understanding of holographic entanglement.

Findings

Phase diagrams of entanglement entropy at various temperatures

Verification of Araki-Lieb inequality in this context

Illustration of entanglement plateau phenomena

Abstract

We study the holographic entanglement entropy in a (d+1)-dimensional boundary quantum field theory at both the zero and finite temperature. The phase diagrams for the holographic entanglement entropy at various temperatures are obtained by solving the entangled surfaces in the different homology. We also verify the Araki-Lieb inequality and illustrate the entanglement plateau.