Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge

TL;DR

This paper explores a holographic approach to measure entanglement negativity in conformal field theories with conserved charges, analyzing zero and finite temperature states via charged AdS black holes, confirming theoretical consistency.

Contribution

It extends the holographic entanglement negativity conjecture to include theories with conserved charges and finite temperature, providing new computational results and consistency checks.

Findings

Holographic negativity computed for charged black holes.

Results align with quantum information theory expectations.

Provides a framework for studying mixed state entanglement in charged CFTs.

Abstract

We study the application of our recent holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with a conserved charge. In this context we obtain the holographic entanglement negativity for zero and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk extremal and non extremal charged $AdS_{d+1}$ black holes. Our results conform to quantum information theory expectations and constitute significant consistency checks for our conjecture.