Renormalization group flows in the deformed ADS/CFT correspondence

In the AdS/CFT correspondence motion in the radial direction of the AdS spa ce is identified with renormalization group flow in the field theory. For t he N=4 Yang-Mills theory this motion is trivial. More interesting examples of renormalization group flow occur when the N=4 theory is deformed. Aspect s of the Rows are discussed for the N=4 theory on its moduli space, and def ormed to N=2 in the infra-red within the context of 5d SUGRA. 10d lifts and brane probing are crucial tools for linking the spacetime backgrounds to t he dual field theory.