  We investigate a recent conjecture connecting the AdS/CFT correspondence and
entanglement renormalization tensor network states (MERA). The proposal
interprets the tensor connectivity of the MERA states associated to quantum
many body systems at criticality, in terms of a dual holographic geometry which
accounts for the qualitative aspects of the entanglement and the correlations
in these systems. In this work, some generic features of the entanglement
entropy and the two point functions in the ground state of one dimensional
gapped systems are considered through a tensor network state. The tensor
network is builded up as an hybrid composed by a finite number of MERA layers
and a matrix product state (MPS) acting as a cap layer. Using the holographic
formula for the entanglement entropy, here it is shown that an asymptotically
AdS metric can be associated to the hybrid MERA-MPS state. The metric is
defined by a function that manages the growth of the minimal surfaces near the
capped region of the geometry. Namely, it is shown how the behaviour of the
entanglement entropy and the two point correlators in the tensor network,
remains consistent with a geometric computation which only depends on this
function. From these observations, an explicit connection between the
entanglement structure of the tensor network and the function which defines the
geometry is provided.
