Notes on Self-dual Warped dS$_3$ Spacetime

TL;DR

This paper explores the holographic duality between self-dual warped dS$_3$ spacetime and a chiral CFT, analyzing thermodynamics and quasinormal modes to support the correspondence.

Contribution

It provides the first detailed analysis of the warped dS/CFT correspondence for self-dual warped dS$_3$ and computes quasinormal modes matching boundary correlator poles.

Findings

Quasinormal mode frequencies match poles in boundary correlators.

Thermodynamics at cosmological horizons supports the duality.

Analytical calculations of perturbations confirm the holographic correspondence.

Abstract

In this paper, we investigate the warped dS/CFT correspondence of the self-dual warped dS$_3$ spacetime, which is a solution of three-dimensional topologically massive gravity (TMG) with a positive cosmological constant. We discuss its thermodynamics at two cosmological horizons. We propose that the self-dual warped dS$_3$ spacetime is holographically dual to a chiral conformal field theory. We analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations under the self-dual warped dS$_3$ spacetime. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators.