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arXiv · 2212.00170

Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon

Ratindranath Akhoury·Sangmin Choi·Malcolm J. Perry
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Abstract

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.

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Ratindranath Akhoury, Sangmin Choi, Malcolm J. Perry. 2022-11-30. Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon. https://doi.org/10.1103/physrevd.107.085019

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