In the first part we discuss the holographic entanglement entropy in AdS4/CFT3 for finite domains with generic shapes. For smooth shapes the constant term can be evaluated by employing a generalisation of the Willmore functional for two dimensional surfaces. Explicit examples are given for asymptotically AdS4 black holes, domain wall geometries and time dependent backgrounds. The second part is focused … Read More

Abstract: Perhaps the simplest RG flows in the AdS/CFT correspondence are those triggered by double trace deformations. These RG flows connect two phases whose holographic duals differ by a choice of boundary asymptotics for the fluctuations of a scalar field in the unitarity window. We consider the holographic realization of renormalization group defects separating these two CFT phases, which we … Read More