How weak symmetry-protected topological phases spoil anomaly matching
Phys. Rev. B 112, 085129 – Published 14 August, 2025
DOI: https://doi.org/10.1103/v2d4-kbws
Abstract
We show how weak symmetry-protected topological (SPT) phases on systems with a boundary are not in one-to-one correspondence with weak SPT phases on fully periodic systems, breaking the standard anomaly inflow interpretation of SPT phases. We further discuss the implications for the crystalline equivalence principle.