Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{AdS_{d+1}/CFT_d}$

TL;DR

This paper confirms a holographic entanglement negativity conjecture for mixed states of adjacent subsystems in higher-dimensional conformal field theories, using examples involving AdS vacuum and black holes, suggesting universality.

Contribution

It provides the first concrete higher-dimensional examples supporting the holographic negativity conjecture for mixed states.

Findings

Holographic negativity computed for $AdS_{d+1}$ vacuum and black holes.

Results indicate the universality of the conjecture across different geometries.

Supports the conjecture's broad applicability in diverse holographic contexts.

Abstract

We establish our recently proposed holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional examples. In this context we compute the holographic entanglement negativity for mixed states of adjacent subsystems in $d$-dimensional conformal field theories dual to bulk $AdS_{d+1}$ vacuum and $AdS_{d+1}$-Schwarzschild black holes. These representative examples provide strong indication for the universality of our conjecture which affirms significant implications for diverse applications.