Entanglement negativity at large central charge

TL;DR

This paper investigates the behavior of entanglement negativity in a holographic 2D CFT at large central charge, using monodromy techniques to support a conjecture relating negativity to holographic entanglement entropy.

Contribution

It provides a detailed analysis of the large central charge limit of twist correlators, offering strong evidence for a holographic negativity conjecture in AdS3/CFT2.

Findings

Large central charge limit of four-point twist correlator analyzed

Six-point correlator reduces to four-point in specific limit

Results support the holographic entanglement negativity conjecture

Abstract

We establish the large central charge behaviour of the entanglement negativity for a mixed state configuration of a single interval enclosed between two intervals in a holographic $CFT_{1+1}$. To this end we utilize the monodromy technique to elucidate the large central charge limit of a four point twist correlator which characterizes the negativity of the mixed state configuration. Subsequently we analyze the large central charge limit of the six point twist correlator which reduces to the above four point correlator in a specific limit. The results provide a strong consistency check for our recently proposed holographic entanglement negativity conjecture in the $AdS_3/CFT_2$ scenario.