Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon
Autor: | Akhoury, Ratindranath, Choi, Sangmin, Perry, Malcolm J. |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.107.085019 |
Popis: | We construct the standard and dual supertranslation charges on the future horizon of the Schwarzschild black hole, using the first-order formulation of gravity with the Holst action. The Dirac bracket algebra of standard and dual supertranslation charges is shown to exhibit a central term in the presence of singularities in the two-sphere function associated with supertranslation. We show that one can cancel this anomalous term and restore the asymptotic symmetry algebra by introducing a gravitational Chern-Simons theory on the horizon. This demonstrates that consistency of the asymptotic symmetry algebra requires a new structure on the horizon. Comment: 47 pages |
Databáze: | arXiv |
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