Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

TL;DR

This paper derives exact quasi-normal mode frequencies for BTZ black holes and confirms their correspondence with dual conformal field theory poles, offering a precise test of the AdS/CFT duality.

Contribution

It provides exact expressions for black hole quasi-normal modes and demonstrates their direct relation to conformal field theory correlator poles, strengthening the AdS/CFT correspondence.

Findings

Exact quasi-normal mode frequencies match CFT pole locations.

Confirms the relaxation times of black hole perturbations.

Provides a quantitative test of AdS/CFT correspondence.

Abstract

We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasi-normal frequencies and the location of the poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory. This then provides a new quantitative test of the AdS/CFT correspondence.