Defects, Rigid Holography and $C$-theorems

I. Carreño Bolla, Diego Rodriguez-Gomez, J. G. Russo

We consider a general scalar QFT with a linear defect in $D=4-\epsilon$ and a surface defect in $D=6-\epsilon$. Using holography and the Hamilton-Jacobi formalism, we show that the $\beta$ functions…