Bulk reconstruction and subregion in AdS/CFT

We investigate how the quantum gravity theory emerges from the CFT (bulk reconstruction) when considering a subregion in the context of AdS/CFT. The study of subregions is crucial for understanding quantum gravity, particularly in areas such as black hole physics. Notably, we demonstrate that even in simple subregions, such as the AdS-Rindler patch, bulk local operators cannot be fully reconstructed—an outcome that contradicts conventional wisdom. Specifically, while a bulk reconstruction reproducing the two-point function exists, we show that higher-point functions, such as the three-point function, become ill-defined.