Kerr-CFT From Black-Hole Thermodynamics

Understand

We analyze the near-horizon limit of a general black hole with two commuting killing vector fields in the limit of zero temperature.

• We use black hole thermodynamics methods to relate asymptotic charges of the complete spacetime to those obtained in the near-horizon limit.
• We then show that some diffeomorphisms do alter asymptotic charges of the full spacetime, even though they are defined in the near horizon limit and, therefore, count black hole states.
• We show that these conditions are essentially the same as considered in the Kerr/CFT corresponcence.