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Boundary conditions for extremal black holes from 2d gravity

Stephane Detournay, Thomas Smoes, Raphaela Wutte

SciPost Phys. 16, 141 (2024) · published 30 May 2024


We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.

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