A remark on the AdS/CFT correspondence and the renormalization group flow

The correspondence between the four-dimensional SU(N), $\cN = 4$ SYM taken at large $N$ and the type II B SUGRA on the $AdS_5\times S_5$ background is considered. We argue that the classical equations of motion in the SUGRA picture can be interpreted as that of the renormamization group on the SYM side. In fact, higher derivative terms in the field theory on the D3-brane world-volume deform it from the conformal $\cN = 4$ SYM limit. We give arguments that the deformation goes in a particular way set by the SUGRA equations of motion. Concrete example of the s-wave dilaton is considered.