Many-body topology in parity-preserving tensor networks
This research explores Planar Parity-Preserving Tensor Networks (ppTNs) to study interacting quantum systems. It shows that these networks naturally map onto diverse physical models like loop gases and topological superconductors. The core finding is the 'topological island' phase, characterized by a $\mathbb{Z}_2$ indicator that connects classical statistical mechanics to fermionic quantum field theory.