  We find a geometrical description from a field theoretical setup based on
Wilson's renormalization group in real space. We show that renormalization
group equations of coupling parameters encode the metric structure of an
emergent curved space, regarded to be an Einstein equation for the emergent
gravity. Self-consistent equations of local order-parameter fields with an
emergent metric turn out to describe low energy dynamics of a strongly coupled
field theory, analogous to the Maxwell equation of the Einstein-Maxwell theory
in the AdS$_{d+2}$/CFT$_{d+1}$ duality conjecture. We claim that the
AdS$_{3}$/CFT$_{2}$ duality may be interpreted as Landau-Ginzburg theory
combined with Wilson's renormalization group, which introduces vertex
corrections into the Landau-Ginzburg theory in the large$-N_{s}$ limit, where
$N_{s}$ is the number of fermion flavors.
