This talk extends the seminar “Rewarding Defects” by Nadav Drukker. Defects break part of the symmetry of the bulk CFT, and the associated nonlinearly realized symmetries are encoded in integrated displacement and tilt operators. I will focus on the breaking of internal symmetries and show how to derive new integral identities for correlators involving tilt operators and bulk operators. I will then illustrate these identities in the O(N) model.
