Hidden Conformal Symmetry of Extremal Black Holes

Understand

We study the hidden conformal symmetry of the extremal black holes.

• We introduce a new set of conformal coordinates to write the $SL(2,R)$ generators.
• We find that the Laplacian of the scalar field in many extremal black holes could be written in terms of the $SL(2,R)$ quadratic Casimir.
• This suggests that there exist dual CFT descriptions of these black holes.