Multitrace deformations, Gamow states, and Stability of AdS/CFT

Understand

We analyze the effect of multitrace deformations in conformal field theories at leading order in a large N approximation.

• These theories admit a description in terms of a weakly coupled gravity dual.
• We show how the deformations can be mapped into boundary terms of the gravity theory and how to reproduce the RG equations found in field theory.
• In the case of doubletrace deformations, and for bulk scalars with masses in the range $-d^2/4<m^2<-d^2/4+1$, the deformed theory flows between two fixed points of the renormalization group, manifesting a resonant behavior at the scale characterizing the transition between the two CFT's.