## 7 Aug 2024

### Speaker : Petr Kravchuk (KCL) : Effective theory for fusion of conformal defects

In this talk I will discuss the fusion of conformal defects in CFTs. The appropriate language for describing this problem appears to be that of RG flows and of an effective field theory (EFT) around the IR fixed point defect. The EFT action is non-trivially constrained by Weyl invariance of the CFT, and I will explain how these constraints can be completely resolved. I will also discuss simple applications of the formalism to defect one-point functions of bulk operators and to the cusp anomalous dimension. Based on arXiv:2406.04561 with Alex Radcliffe and Ritam Sinha.

15:00 - 17:00 in G.O. Jones Room 610