2026/07/17 by Matteo Bertolini, Lorenzo Di Pietro, Stefano C. Lanza +1
#hep-th #cond-mat.str-el
We discuss a class of symmetry structures in general spacetime dimension that arise when gauging symmetries in theories with a cubic 't Hooft anomaly. The anomaly mixes two Abelian discrete symmetries A and B with a characteristic class for an additional symmetry C, and we gauge A× B. The novelty of this construction is that the resulting symmetry structure involves certain condensation defects of the dual symmetry \widehatA×\widehatB. Specifically, these defects generate an invertible symmetry that extends C, either as an ordinary group extension or as a higher-group, depending on the characteristic class. We describe the corresponding charged operators and states, and illustrate the mechanism in several examples.