Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies
This article establishes a unified, non-perturbative framework demonstrating that spatially modulated symmetries and their associated dipole algebras naturally emerge from the gauging of ordinary symmetries in the presence of generalized Lieb-Schultz-Mattis anomalies, and provides explicit lattice models as well as field-theoretic descriptions across arbitrary spatial dimensions.