Notes on entanglement wedge cross sections

Understand

We consider the holographic candidate for the entanglement of purification $E_P$, given by the minimal cross sectional area of an entanglement wedge $E_W$.

• The $E_P$ is generally very complicated quantity to obtain in field theories, thus to establish the conjectured relationship one needs to test if $E_W$ and $E_P$ share common features.
• In this paper the entangling regions we consider are slabs, concentric spheres, and creases in field theories in Minkowski space.
• The latter two can be mapped to regions in field theories defined on spheres, thus corresponding to entangled caps and orange slices, respectively.