I don't know much about tensor networks, so I may not be the right person to answer your question. Maybe that's answer enough? I would guess that it would onl

I don't know much about tensor networks, so I may not be the right person to answer your question. Maybe that's answer enough? I would guess that it would only be apparent how to do some kind of embedding like you're thinking about after fixing a gauge, so that there would be gauge configurations that are physically equivalent but not at all manifestly related to the network you're interested in. I do know that people think about tensor networks seriously as toy models for quantum gravity. But that's quite outside my range of expertise.