Entanglement entropy in conformal field theory: new results for disconnected regions

The study of the entanglement properties of the ground-state of extended quantum systems has propelled an intense research activity at the crossroads of different disciplines such as statistical mechanics, quantum information, and quantum field theory. Quantifying the entanglement allowed an elegant and more precise characterization of many extended quantum systems. I present the results for one-dimensional systems at a quantum critical point that are described by a conformal invariant field theory. In particular, I present some recent results on the entanglement of disconnected regions and I discuss how these investigations reveal important features of the underlying conformal field theory.