  Conformal deformations manifest in the AdS/CFT correspondence as boundary
conditions on the AdS field. Heretofore, double-trace deformations have been
the primary focus in this context. To better understand multitrace
deformations, we revisit the relationship between the generating AdS partition
function for a free bulk theory and the boundary CFT partition function subject
to arbitrary conformal deformations. The procedure leads us to a formalism that
constructs bulk fields from boundary operators. Using this formalism, we
independently replicate the holographic RG flow narrative to go on to interpret
the brane used to regulate the AdS theory as a renormalization scale. The
scale-dependence of the dilatation spectrum of a boundary theory in the
presence of general deformations can be thus understood on the AdS side using
this formalism.
