Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole

Understand

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue.

• This pursuit reveals a hidden conformal symmetry in the law frequency wave equation for a scalar field in a certain spacetime region referred to as the near region.
• For extremal case, the near region is expected to be the near horizon region in which the correspondence via the asymptotic symmetry is studied.
• We investigate the hidden conformal symmetry in the near horizon limit and consider the relation between the hidden conformal symmetry and the asymptotic symmetry in the near horizon limit.