String Theory seminar - Francesco Aprile Seminar

I will discuss the holographic entanglement entropy in BPS multi-centered p-brane solutions and bubbling geometries. Focusing on the p-brane geometries, these backgrounds provides examples of large-N RG flows in which UV degrees of freedom rearrange across spacetime and field theory space. The codimension-2 Ryu-Takayanagi surface gives a sharp characterization of such RG flows. In particular, through the formation of a separatrix, it detects topology changes of the internal space. This separatrix defines at each energy scale the common boundary between different pieces of geometry, it is a dynamical object and "mediates" interactions. I will show how this entangling structure is understood in the dual field theory, and how it can be used to refine the notion of separability/connectivity of an RG flow. Bubbling geometries can be analyzed with the same geometric tools.