Near-extremal limits of warped black holes

A holographic description of three-dimensional warped black holes suffers from ambiguities due to a seemingly harmless choice of coordinate system. This gives rise to the notion of ensembles in warped black holes, and we focus on two of them: the canonical and quadratic ensemble. Our aim is to quantify the imprint of these ensembles in the near-extremal limit of a warped black hole. To this end, for each ensemble, we explore the thermodynamic response and evaluate greybody factors. We also set-up a holographic dictionary in their near-AdS2 region, and decode aspects of the dual nearCFT1. This gives us different perspectives of the black hole that we can contrast and compare. On the one hand, we find perfect agreement between the near-extremal limit of the canonical ensemble warped black holes, their near-AdS2 effective analysis, and a warped conformal field theory description. On the other, we are led to rule out the quadratic ensemble due to inconsistencies at the quantum level with the near-AdS2 effective description.

Automated summary

A holographic description of three-dimensional warped black holes encounters ambiguities arising from the choice of coordinate system. This study focuses on two ensembles, namely the canonical and quadratic ensembles. By investigating the thermodynamic response and evaluating greybody factors, the authors quantify the effects of these ensembles in the near-extremal limit of a warped black hole. They also establish a holographic dictionary in the near-AdS2 region and decipher aspects of the dual nearCFT1. The results show perfect agreement between the near-extremal limit of the canonical ensemble warped black holes, their near-AdS2 effective analysis, and a warped conformal field theory description, while ruling out the quadratic ensemble due to inconsistencies at the quantum level with the near-AdS2 effective description.