Supertranslations and Superrotations at the Black Hole Horizon

Understand

We show that the asymptotic symmetries close to nonextremal black hole horizons are generated by an extension of supertranslations.

• This group is generated by a semidirect sum of Virasoro and Abelian currents.
• The charges associated with the asymptotic Killing symmetries satisfy the same algebra.
• When considering the special case of a stationary black hole, the zero mode charges correspond to the angular momentum and the entropy at the horizon.