Bifurcating entanglement-renormalization group flows of fracton stabilizer models

Understand

We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions.

• Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model.
• Based on this behavior we formulate the notion of bifurcated equivalence for fracton phases, generalizing foliated fracton equivalence.
• The notion of quotient superselection sectors is also generalized accordingly.