Real-time correlators in Kerr/CFT correspondence

TL;DR

This paper computes real-time correlators in the Kerr/CFT correspondence, demonstrating a perfect match between gravitational and CFT predictions for Green's functions, cross sections, and quasi-normal modes, including for charged black holes.

Contribution

It extends the Kerr/CFT correspondence to real-time correlators and generalizes the analysis to charged Newman-Kerr black holes.

Findings

Retarded Green's functions match CFT predictions

Cross sections agree with dual CFT calculations

Quasi-normal modes are consistent with the dual CFT

Abstract

We study real-time correlators in the Kerr/CFT correspondence. The near-horizon geometry of extreme and near-extremal Kerr black holes can be taken as warped spacetimes with the warping factors depending on the transverse radius and the angular variable. By considering the Kerr/CFT correspondence as a generalized warped AdS/CFT correspondence, we show how to compute the CFT real-time correlation functions. We find that the retarded Green's functions, the cross sections and the quasi-normal modes are all in perfect match with the predictions of the dual CFT. The same analysis is also generalized to the charged Newman-Kerr black holes .