CFT dual to a black hole

AdS/CFT is famous correspondence between gravity and CFT.

What one can say about black holes using this correspondence?

What CFT object correspondent for black hole? For charged black hole? Rotating black hole?

What kind of information about black hole one can extract from this correspondence?

When a Black Hole is present in a bulk, it gives the background some temperature due to Hawking radiation. Thus a stable spacetime in presence of a generic BH has a fixed tempertature $$T$$. The dual CFT theory also has thermal states. It has been recently shown that these thermal states have one-to-one correspondence with the Black Hole backgrounds of AdS spacetime. Although for extremal black holes(BH with $$T=0$$) one must take an appropriate limit. Charged, rotating black holes usually have non-zero temperature and hence the above prescription follows.