  We examine anomalous dimensions of higher spin currents in the critical O(N)
scalar model and the Gross-Neveu model in arbitrary d dimensions. These two
models are proposed to be dual to the type A and type B Vasiliev theories,
respectively. We reproduce the known results on the anomalous dimensions to the
leading order in 1/N by using conformal perturbation theory. This work can be
regarded as an extension of previous work on the critical O(N) scalars in 3
dimensions, where it was shown that the bulk computation for the masses of
higher spin fields on AdS_4 can be mapped to the boundary one in conformal
perturbation theory. The anomalous dimensions of the both theories agree with
each other up to an overall factor depending only on d, and we discuss the
coincidence for d=3 by utilizing N=2 supersymmetry.
