AdS/BCFT and Island for curvature-squared gravity

In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, start with Gauss-Bonnet We derive the one point function of stress tensor and show that central charge related to norm displacement operator is positive couplings obeying causality constraints. Furthermore, by imposing null energy condition on end-of-the-world brane, prove holographic g-theorem This corrects a wrong view in literature, which claims violated As by-product, obtain boundary entropy A-type charges general dimensions. also study find it too restrictive shape brane dual BCFT trivial if imposes Neumann conditions all gravitational modes. Instead, propose impose Dirichlet massive graviton, while massless graviton. way, non-trivial dependence well-defined charges. particular, satisfied Finally, discuss island Page curve can be recovered Interestingly, there are zeroth-order phase transitions within range Generalizing discussions entanglement complexity AdS/CFT, get new constraints coupling, stronger than constraint.