Entanglement negativity, Holography and Black holes

TL;DR

This paper tests a holographic entanglement negativity conjecture in higher-dimensional conformal field theories, demonstrating its ability to measure distillable entanglement and reproduce universal features across dimensions.

Contribution

It applies the holographic negativity conjecture to higher-dimensional CFTs, providing consistency checks and extending its applicability to black hole geometries.

Findings

Negativity characterizes distillable entanglement in finite temperature states.

Thermal contributions are eliminated in negativity calculations.

Universal features of negativity are reproduced in higher dimensions.

Abstract

We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the holographic entanglement negativity for bipartite pure and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk pure $AdS_{d+1}$ geometry and $AdS_{d+1}$-Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.