AdS/BCFT from Bootstrap Construction of Gravity with particle & brane

We consider gravity with branes and massive particles, which has many unclear aspects. For example, we do not know how to understand some problematic configurations, like brane self-intersections, negative tension branes, and spinning particles interacting with branes. We address these issues through AdS/BCFT. We solve a related conformal bootstrap and show that the self-intersection can be avoided by the black hole formation. We also reveal how to resolve the other problems in AdS/BCFT using the bootstrap.
In the later part, we give the resolution of the same problems from the gravity side. For this purpose, we develop a simple way to construct gravity with branes and particles by cutting and pasting. The solution from this construction tells us how to resolve the issues from the gravity side, which is completely consistent with the CFT result.
As a bonus, we find a refined formula for the holographic Rényi entropy, which appears to be crucial to correctly reproduce the boundary entropy term. We also find a holographic dual of boundary primaries.