Holographic entanglement entropy of two disjoint intervals in AdS$_3$/CFT$_2$

Abstract

The Ryu-Takayanagi conjecture contradicts 1 + 1-dimensional CFT if we apply it to two far disjoint intervals because it predicts the product state. Instead of the conventional conjecture, we propose a holographic entanglement entropy formula that the entanglement entropy of two disjoint intervals is described by the appropriate sum of the area of signed extremal curves. We confirm that the resulting holographic entanglement entropy is consistent with the entanglement entropy for the specific two disjoint intervals evaluated in the large c limit CFT.

Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory

“…In field theories and many-body physics, entanglement is used for characterizing different phase of matter. In quantum gravity and black hole physics, since Ryu and Takayanagi first proposed the notion of holographic entanglement entropy [8], a large number of studies have emerged, including holographic entanglement entropy [9][10][11][12][13], holographic entanglement negativity [14][15][16][17][18].…”