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Breaking away from the near horizon of extreme Kerr
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abstract
We study gravitational perturbations around the near horizon geometry of the (near) extreme Kerr black hole. By considering a consistent truncation for the metric fluctuations, we obtain a solution to the linearized Einstein equations. The dynamics is governed by two master fields which, in the context of the nAdS$_2$/nCFT$_1$ correspondence, are both irrelevant operators of conformal dimension $\Delta=2$. These fields control the departure from extremality by breaking the conformal symmetry of the near horizon region. One of the master fields is tied to large diffeomorphisms of the near horizon, with its equations of motion compatible with a Schwarzian effective action. The other field is essential for a consistent description of the geometry away from the horizon.
Forward citations
Cited by 2 Pith papers
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Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
For JT gravity with conformal matter, the generalized entropy defined from the horizon dilaton plus matter entanglement is monotonic along the event horizon and along future Q-screens under the null energy condition, ...
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A One-Loop Test of the near-AdS$_2$/near-CFT$_1$ Correspondence
The bulk one-loop partition function of JT gravity reproduces the SYK result -3/2 log beta, with the logarithmic contribution coming entirely from quadratic holomorphic differentials.
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