Bulk gauge fields and holographic RG from exact RG

Recently, a method was described for deriving Holographic RG equation in $AdS_{D+1}$ space starting from an Exact of $D$-dimensional boundary CFT (Sathiapalan, Sonoda, 2017). The evolution operator corresponding to the rewritten as functional integral $D+1$ dimensional field theory space. This has since been applied elementary scalars and composite $O(N)$ model 2020). In this paper, we apply technique conserved vector current energy momentum tensor CFT, at fixed point. These spin one two operators are represented by auxiliary fields extend into bulk gauge metric perturbations. We obtain, free level, (gauge fixed) Maxwell Einstein actions. While steps involved motivated AdS/CFT correspondence, none logically require conjecture their justification.