Week 24.06.2024 – 30.06.2024

We use a relative entropy in order to establish the irreversibility of renormalization group flows on planar d-dimensional defects, embedded in D-dimensional conformal field theories. This proof completes and unifies all known defect irreversibility theorems for defect dimensions d≤ 4. The F-theorem on defects (d= 3) is a new result using information-theoretic methods.