One-point functions of the Lagrangian in $\mathcal{N}=4$ SYM with boundaries, defects and interfaces

We obtain one-point functions of the ambient Lagrangian $\mathcal{O}_{\mathcal{L}}$ in $\mathcal{N}=4$ SYM with $\frac{1}{2}$-BPS boundaries, defects and interfaces classified by Gaiotto and Witten, which include maximally supersymmetric Janus interfaces and BCFTs relevant for double holography, as