## SciPost Submission Page

# Breaking away from the near horizon of extreme Kerr

### by Alejandra Castro, Victor Godet

#### - Published as SciPost Phys. 8, 089 (2020)

### Submission summary

As Contributors: | Alejandra Castro · Victor Godet |

Arxiv Link: | https://arxiv.org/abs/1906.09083v3 (pdf) |

Date accepted: | 2020-05-29 |

Date submitted: | 2020-05-23 |

Submitted by: | Castro, Alejandra |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | High-Energy Physics - Theory |

Approach: | Theoretical |

### 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.

### Ontology / Topics

See full Ontology or Topics database.Published as SciPost Phys. 8, 089 (2020)