Supertranslations and Superrotations at the Black Hole Horizon
Laura Donnay, Gaston Giribet, Hernan A. Gonzalez, Miguel Pino
TL;DR
This paper explores extended asymptotic symmetries near nonextremal black hole horizons, revealing a complex algebra involving supertranslations, Virasoro, and Abelian currents, with implications for black hole entropy and angular momentum.
Contribution
It introduces an extended symmetry group at black hole horizons, combining supertranslations with Virasoro and Abelian currents, and links charges to physical properties like entropy.
Findings
Symmetry group extends supertranslations with Virasoro and Abelian currents.
Charges satisfy the same algebra as the symmetry group.
Zero mode charges relate to black hole angular momentum and entropy.
Abstract
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.
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