Quasinormal Modes of Self-Dual Warped AdS$_3$ Black Hole in Topological Massive Gravity

TL;DR

This paper calculates the quasinormal modes of self-dual warped AdS$_3$ black holes in topological massive gravity, providing a test of the warped AdS/CFT correspondence by matching these modes with dual CFT Green's function poles.

Contribution

It derives exact quasinormal modes for self-dual warped AdS$_3$ black holes, linking gravitational perturbations to dual CFT predictions.

Findings

Quasinormal modes match the poles of dual CFT Green's functions.

Provides a quantitative test of warped AdS/CFT correspondence.

Exact expressions for perturbations of self-dual warped AdS$_3$ black holes.

Abstract

We consider the various perturbations of self-dual warped AdS$_3$ black hole and obtain the exact expressions of quasinormal modes by imposing the vanishing Dirichlet boundary condition at asymptotic infinity. It is expected that the quasinormal modes agree with the poles of retarded Green's functions of the dual CFT. Our results provide a quantitative test of the warped AdS/CFT correspondence.