Description
An application of SymTFT: group theoretical duality defects
Abstract: Group theoretical duality defects are a special type of duality defects that can be mapped to invertible defects by a sequence of twisted gaugings. After giving several motivations of studying such defects, we explain how to determine whether a duality defect is group theoretical. The Symmetry TFT (SymTFT) turns out to be a very useful tool to address this problem. We then first give a brief overview the SymTFT, and use it to provide a computable criteria for the group-theoretical-ness. Then we apply the criteria to two examples: the duality defects associated with gauging Z_N 0- and 1-form symmetries in 2d and 4d respectively. I will end by commenting on the relation between the group theoretical condition, and the condition for free of anomaly as well as the obstruction to duality preserving gapped phases.
