Quasinormal Modes and Hidden Conformal Symmetry of Warped dS$_3$ Black Hole

TL;DR

This paper analytically computes the quasinormal modes of various perturbations in warped dS3 black holes, revealing their connection to hidden conformal symmetry and boundary correlator poles.

Contribution

It introduces an algebraic method to derive quasinormal modes using hidden conformal symmetry, confirming results with analytical calculations.

Findings

Quasinormal mode frequencies match boundary correlator poles.

Hidden conformal symmetry underpins the algebraic construction of modes.

Results are consistent between analytical and algebraic approaches.

Abstract

In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS$_3$ black hole. There are two horizons for the warped dS$_3$ black hole, namely, the black hole horizon $r_b$ and the cosmological horizon $r_c$. In the calculation, we impose the ingoing boundary condition at the black hole horizon and the outgoing boundary condition at the cosmological horizon. We also investigate the hidden conformal symmetry of the warped dS$_3$ black hole in the region between the black hole horizon and the cosmological horizon $r_b<r<r_c$. We use the hidden conformal symmetry to construct the quasinormal modes in an algebraic way and find that the results agree with the analytically ones. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators.