# CFT descriptions of bulk local states in the AdS black holes

## TL;DR

This paper introduces a new method to reconstruct bulk local states in AdS black holes from CFT data, enabling the study of black hole interiors through boundary calculations.

## Contribution

It provides a systematic map between bulk points in AdS and boundary points in the CFT, facilitating the reconstruction of interior black hole states.

## Key findings

- Reconstruction of bulk local states inside black holes from CFT.
- Universal map between bulk points and boundary points.
- Analysis of states in single-sided and double-sided black holes.

## Abstract

We present a new method for reconstructing CFT duals of states excited by the bulk local operators in the three dimensional AdS black holes in the AdS/CFT context. As an important procedure for this, we introduce a map between the bulk points in AdS and those on the boundary where CFT lives. This gives a systematic and universal way to express bulk local states even inside black hole interiors. Our construction allows us to probe the interior structures of black holes purely from the CFT calculations. We analyze bulk local states in the single-sided black holes as well as the double-sided black holes.