  We investigate a structure of a 4-dimensional bulk space constructed from the
$O(N)$ invariant critical $\varphi^4$ model in 3-dimension using the conformal
smearing. We calculate a bulk metric corresponding to the information metric
and the bulk-to-boundary propagator for a composite scalar field $\varphi^2$ in
the large $N$ expansion. We show that the bulk metric describes an asymptotic
AdS space at both UV (near boundary) and IR (deep in the bulk) limits, which
correspond to the asymptotic free UV fixed point and the Wilson-Fischer IR
fixed point of the 3-dimensional $\varphi^4$ model, respectively. The
bulk-to-boundary scalar propagator, on the other hand, encodes
$\Delta_{\varphi^2}$ (the conformal dimension of $\varphi^2$) into its $z$ (a
coordinate in the extra direction of the AdS space) dependence. Namely it
correctly reproduces not only $\Delta_{\varphi^2}=1$ at UV fixed point but also
$\Delta_{\varphi^2}=2$ at the IR fixed point for the boundary theory. Moreover,
we confirm consistency with the GKP-Witten relation in the interacting theory
that the coefficient of the $z^{\Delta_{\varphi^2}}$ term in $z\to 0$ limit
agrees exactly with the two-point function of $\varphi^2$ including an effect
of the $\varphi^4$ interaction.
