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

Autor:	Akhoury, Ratindranath, Choi, Sangmin, Perry, Malcolm J.
Rok vydání:	2022
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
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
Externí odkaz:	http://arxiv.org/abs/2212.00170 Zobrazit plný text záznamu View this record from Arxiv