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Breaking away from the near horizon of extreme Kerr

by Alejandra Castro, Victor Godet

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

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AdS/CFT correspondence

Published as SciPost Phys. 8, 089 (2020)



Submission & Refereeing History

Resubmission 1906.09083v3 on 23 May 2020
Submission 1906.09083v2 on 15 September 2019

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