Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes
This paper constructs local commuting projector lattice models in (2+1)D and (3+1)D that realize nonzero generalized Hall conductivities for ordinary and higher-form continuous symmetries by utilizing a standard toric code with non-onsite symmetries, thereby circumventing traditional no-go theorems while supporting protected gapless boundaries consistent with continuum field theories.