Renormalized Entanglement Entropy for BPS Black Branes

Abstract

We compute the renormalized entanglement entropy (REE) for BPS black solutions in $\mathcal{N}=2$, 4d gauged supergravity. We find that this quantity decreases monotonically with the size of the entangling region until it reaches a critical point, then increases and approaches the entropy density of the brane. This behavior can be understood as a consequence of the REE being driven by two competing factors, namely entanglement and the mixedness of the black brane. In the UV entanglement dominates, whereas in the IR the mixedness takes over.

arXiv comment6 pages, 4 figures; v2: Typos fixed, citation and clarifying text added, version accepted in Physical Review D

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• Holographic Entanglement Entropy for noncommutative Anti-de Sitter space
• Non-equilibrium phase and entanglement entropy in 2D holographic superconductors via Gauge-String duality