Replica wormholes and holographic entanglement negativity

A bstract Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about structure its quantum state is needed fully dynamics evaporation. Here we study entanglement negativity, important measure in mixed states, a couple toy models holes. We find four phases dominated by different types geometries: disconnected, cyclically connected, anti-cyclically and pairwise connected geometries. The last these geometries are new wormholes that break symmetry spontaneously. also analyze transitions between summing generic using Schwinger-Dyson equation. In particular, enhanced corrections various negativity measures near transition cyclic phase.