String Theory seminar - Jacopo Sisti Seminar

Abstract: We study the holographic entanglement entropy of spatial regions with arbitrary shapes in the AdS_4/BCFT_3 correspondence focusing on the subleading term with respect to the area law term. An analytic expression, depending on the unit vector normal to the minimal surface, is obtained. This expression reduces to the Willmore functional with a proper boundary term when the bulk space-time is a part of AdS_4. Analytic expressions for some smooth domains are reproduced, including the one for a disk disjoint from the boundary. We also discuss the case in which the entangling curve intersects the boundary. In this case, a logarithmic divergence in the entanglement entropy occurs whose coefficient is determined by a corner function. Finally, a numerical approach based on Surface Evolver is employed to construct extremal surfaces anchored to entangling curves with arbitrary shape