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Boundary Conditions for Extremal Black Holes from 2d Gravity

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arxiv 2312.08353 v3 pith:UROG2QHP submitted 2023-12-13 hep-th gr-qc

Stéphane Detournay , Thomas Smoes , Raphaela Wutte This is my paper · ORCID
classification hep-thgr-qc
keywords boundaryconditionsblackextremalgravityholesalgebraasymptotic
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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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  1. Modular matrices of 2d Carrollian and warped CFTs

    hep-th 2025-01 conditional novelty 6.0 of 10

    Explicit modular S and T matrices are derived for Carrollian (bms3) and warped CFT characters, with checks of S squared and unitarity.

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