Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon - Archive ouverte HAL
Article Dans Une Revue Phys.Rev.D Année : 2023

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

Ratindranath Akhoury
  • Fonction : Auteur
Malcolm J. Perry
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03898612 , version 1 (14-12-2022)

Identifiants

Citer

Ratindranath Akhoury, Sangmin Choi, Malcolm J. Perry. Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon. Phys.Rev.D, 2023, 107 (8), pp.085019. ⟨10.1103/PhysRevD.107.085019⟩. ⟨hal-03898612⟩
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