Some results in AdS/BCFT

TL;DR

This paper explores new solutions within the AdS/BCFT framework in AdS3 and BTZ black hole spacetimes, revealing a brane with de Sitter geometry that aligns with BCFT symmetries and generalizes to higher dimensions.

Contribution

It introduces a novel End of the World brane solution with de Sitter geometry, expanding the AdS/BCFT correspondence to more general settings and higher dimensions.

Findings

Discovered a new EoW brane solution with dS2 geometry.

Established the solution's compatibility with BTZ black hole identifications.

Generalized the solution to higher-dimensional spacetimes.

Abstract

In this paper, we study the $AdS/BCFT$ construction in $AdS_3$ 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 $dS_2$ with an isometry group identical to that of $AdS_2$ 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.