Holography from Singular Supertranslations on a Black Hole Horizon - Archive ouverte HAL
Article Dans Une Revue Phys.Rev.Lett. Année : 2022

Holography from Singular Supertranslations on a Black Hole Horizon

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

Résumé

We investigate the standard and dual BMS supertranslation generators on a black hole horizon and draw some conclusions about black hole physics. Recently, it has been shown that in addition to conventional BMS supertranslation symmetries, there exists an additional infinite set of magnetic asymptotic symmetries, dual BMS supertranslations, again parametrized by a function on the two-sphere. We show that the Dirac bracket between these generators exhibits an anomalous central term when one parameter function exhibits a singularity in the complex stereographical coordinates on the sphere. In order to preserve general coordinate invariance, we demonstrate that this central term can be removed by postulating a holographic gravitational Chern-Simons theory on the horizon. This indicates that for an anomaly-free theory of quantum gravity in the presence of a black hole, one should include a boundary theory on the horizon.

Dates et versions

hal-03683170 , version 1 (31-05-2022)

Identifiants

Citer

Ratindranath Akhoury, Sangmin Choi, Malcolm J. Perry. Holography from Singular Supertranslations on a Black Hole Horizon. Phys.Rev.Lett., 2022, 129 (22), pp.221603. ⟨10.1103/PhysRevLett.129.221603⟩. ⟨hal-03683170⟩
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