Towards the large-charge sector of the critical O(N) model with an interface defect

In conformal field theories, special classes of operators, such as defects and local operators carrying large quantum numbers, have received a lot of attention in recent years. In this talk, I will present some work in progress regarding the extraction of CFT data in the critical O(N) model with a codimension-one flat defect (interface), paying special attention to the case where local operators in large traceless symmetric representations of O(N) (the so-called 'large-charge operators' in this context) are inserted in the bulk. The talk will include a discussion of certain general features of codimension-one defect CFTs, a small review of the large-charge bootstrap, as well as an overview of the current understanding of the phase diagram of the boundary/interface critical O(N) model.