  We initiate the study of how tensor networks reproduce properties of static
holographic space-times, which are not locally pure anti-de Sitter. We consider
geometries that are holographically dual to ground states of defect, interface
and boundary CFTs and compare them to the structure of the requisite MERA
networks predicted by the theory of minimal updates. When the CFT is deformed,
certain tensors require updating. On the other hand, even identical tensors can
contribute differently to estimates of entanglement entropies. We interpret
these facts holographically by associating tensor updates to turning on
non-normalizable modes in the bulk. In passing, we also clarify and complement
existing arguments in support of the theory of minimal updates, propose a novel
ansatz called rayed MERA that applies to a class of generalized interface CFTs,
and analyze the kinematic spaces of the thin wall and AdS3-Janus geometries.
