Gauging Non-invertible Symmetries

This work investigates the consequences of gauging non-invertible symmetries, which are symmetries that do not follow group-like compositions. We focus on specific examples, such as gauging a discrete subset of non-invertible O(2) electric symmetries and gauging the non-invertible O(2) magnetic 1-form symmetries (which leads to BF theory with gauged charge conjugation). Key findings include the definition for a charged operator to remain invariant under non-invertible symmetries, nontrivial mappings between symmetry operators as well as nontrivial fusion rules in the former example, and novel discoveries about BF theory. The poster presentation will also introduce generalized symmetry and the concept of gauging to provide context for our research.