  Holographic duality conjecture has been proposed to be a novel
non-perturbative theoretical framework for the description of strongly
correlated electrons. However, the duality transformation is not specified to
cause ambiguity in the application of this theoretical machinery to condensed
matter physics. In this study, we propose a prescription for the holographic
duality transformation. Based on recursive renormalization group (RG)
transformations, we obtain an effective field theory, which manifests the RG
flow of an effective action through the introduction of an extra dimension.
Resorting to this prescription, we show that RG equations of all coupling
constants are reformulated as emergent geometry with an extra dimension. We
claim that the present prescription serves as microscopic foundation for the
application of the holographic duality conjecture to condensed matter physics.
