Time-like entanglement entropy in AdS/BCFT

A bstract We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal field theory (BCFT) both from and holographic point of view. In theory, we compute a pure interval at zero finite temperature using replica technique analytical continuation. find that, similar to ordinary space-like BCFT, also has bulk phase which corresponds respectively dominance identity block OPE channels. However, that Lorentzian posses third Regge arises limit interval, when one endpoint time approaches light cone mirror image other endpoint. determine diagram entropy. while is complex term phase, there no phase. Moreover, it can be real or depending on side approached from. On gravity side, obtain corresponding dual geometries exact agreement with results. The may useful describe quantum dot half line.