Absorption cross section in warped AdS_3 black hole revisited

TL;DR

This paper revisits the absorption cross section in warped AdS_3 black holes, confirming it reduces to the horizon area at low energies and exploring the dual CFT's thermal properties.

Contribution

It provides a corrected calculation of the absorption cross section and links the effective temperatures to the warped AdS/CFT correspondence.

Findings

Cross section reduces to horizon area at low energy

Effective temperatures match quasinormal mode analysis

Supports warped AdS/CFT correspondence with specific CFT operators

Abstract

We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole. According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found. We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes. Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.