  For scalar fields in AdS with masses slightly above the
Breitenlohner-Freedman bound, appropriate non-local boundary conditions can
define a unitary theory. Such boundary conditions correspond to non-local
deformations of the dual CFT, and generate a non-local renormalization-group
flow. Nevertheless, a bulk analysis suggests that certain such flows lead to
local CFTs in the infra-red. Since the flows are non-local, they can either
increase or decrease the central charge of the CFT. In fact, given any local
renormalization-group flow within a certain general class which leads from a UV
theory (CFT_1) to an IR theory (CFT_2), we show that one can find such a
non-local flow in which the endpoints are interchanged: the non-local theory
flows from CFT_2 in the IR to CFT_1 in the UV. We work at large N, but the
flows we consider involve quantum field effects in the bulk, corresponding to
1/N corrections in the dual theory.
