In this lecture, Prof. Liu discusses how to calculate the entanglement entropy of a boundary system using the AdS gravity. He gives a holographic proof of the strong Sub-additivity conditions of the entanglement entropy, and discusses a simple example.

In this lecture, Prof. Liu continues discussion of Euclidean correlation functions by outlining the prescription for higher-point functions, then discusses evaluation of a Wilson loop of a boundary theory using the corresponding AdS string theory.

In this lecture, Prof. Liu first introduces general setup of string theory, including various forms of the string action and symmetries of the action. He then solves classical string dynamics in the light-cone gauge.