Holographic Conformal Anomaly with Bulk Scalars Potential from d3 and d5 Gauged Supergravity

d3 and d5 maximally SUSY gauged supergravities are considered in the parameterization (flow) of the full scalar coset, where the kinetic term for scalars takes the standard field theory form and the bulk potential is an arbitrary one subject to consistent parameterization. From such SG duals, we calculate d2 and d4 holographic conformal anomalies which depend on the bulk scalar potential. AdS/CFT correspondence suggests that such an SG-side conformal anomaly should be identified with a (non-perturbative) QFT conformal anomaly (taking account of radiative corrections) for the theory on the boundary of the AdS space. In the limit of a constant bulk potential and a single scalar, the d4 result reproduces the known exact conformal anomaly corresponding to maximally SUSY super Yang-Mills theory coupled to N = 4 conformal supergravity.