A defect in holographic interpretations of tensor networks

Understand

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.