  Recent work has shown that entanglement and the structure of spacetime are
intimately related. One way to investigate this is to begin with an
entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT
correspondence to calculate the bulk metric. We perform this calculation for
ABJM, a particular 3-dimensional supersymmetric CFT (SCFT), in its ground
state. In particular we are able to reconstruct the pure AdS4 metric from the
holographic entanglement entropy of the boundary ABJM theory in its ground
state. Moreover, we are able to predict the correct AdS radius purely from
entanglement. We also address the general philosophy of relating entanglement
and spacetime through the Holographic Principle, as well as some of the
philosophy behind our calculations.
