Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
Near-horizon symmetries of extremal black holes
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abstract
Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2,1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers-Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers-Perry solution.
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hep-th 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.
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Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
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From BTZ Perturbations to Schwarzian Modes: A Geometrical and Perturbative Analysis
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.