Here we summarize this Ph.D. thesis. In Chap. 2, we reviewed generalized symmetries. Traditionally, symmetry has been considered as an invariance of the action associated with a transformation. Then, when there exists a continuous symmetry, we can define a conservative current from Noether’s theorem and use the current to derive the WT-identity. The WT-identity then implies locally global symmetry transformations for the field. In order to consider such local global transformations for symmetries including discrete symmetries, we define a symmetry defect from the variation of the action of a global transformation on a region of spacetime.