Entanglement negativity at large central charge

Understand

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.