(-1)-Form Symmetries and Anomaly Shifting from SymTFT

Abstract: We investigate (-1)-form symmetries using the framework of symmetry topological field theories. Previous studies of (-1)-form symmetries have primarily focused on SymTFTs with topological point operators. Here we examine SymTFTs devoid of point operators, constructed to realize zero-form symmetries of some physical theory. In this context we identify codimension-one defects within the bulk of SymTFT constructed via higher gauging which can be interpreted as the generators of the (-1)-form symmetry of the absolute theory. In addition, we present examples where (-1)-form symmetries exhibit the novel ability to shift the 't Hooft anomalies of the theory.