Some results in AdS/BCFT

In this paper, we study the $AdS\mathrm{/}BCFT$ construction in $Ad{S}_3$ and the BTZ black hole spacetime. We find a new solution to the equation for the End of the World (EoW) brane. The induced metric on this solution is that of $d{S}_2$ with an isometry group identical to that of $Ad{S}_2$ and the symmetry group of the corresponding BCFT. It also leads to a corresponding EoW brane in the non-rotating BTZ background which is consistent with the periodic identifications of the non-rotating BTZ black hole. The new solution generalizes easily to higher dimensions.