Anomalies of global symmetries on the lattice
The paper systematically defines lattice anomalies as topological invariants of symmetry actions, not specific Hamiltonians. It establishes a triple equivalence between these anomalies, circuit descriptions of Quantum Cellular Automata (QCAs), and commuting model Hamiltonians. This framework unifies the study of symmetries in many-body systems and connects them to topological phases like MBL states.