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Conformal deformations manifest in the AdS/CFT correspondence as boundaryconditions on the AdS field. Heretofore, double-trace deformations have beenthe primary focus in this context. To better understand multitracedeformations, we revisit the relationship between the generating AdS partitionfunction for a free bulk theory and the boundary CFT partition function subjectto arbitrary conformal deformations. The procedure leads us to a formalism thatconstructs bulk fields from boundary operators. Using this formalism, weindependently replicate the holographic RG flow narrative to go on to interpretthe brane used to regulate the AdS theory as a renormalization scale. Thescale-dependence of the dilatation spectrum of a boundary theory in thepresence of general deformations can be thus understood on the AdS side usingthis formalism.

The AdS/CFT partition function, AdS as a lift of a CFT, and holographic RG flow from conformal deformations