Small black holes in global AdS spacetime

TL;DR

This paper investigates the behavior of correlation functions and quasinormal modes in a strongly coupled conformal field theory dual to small black holes in global AdS spacetime, revealing a smooth transition between phases.

Contribution

It provides a detailed analysis of finite temperature correlators and quasinormal modes for small black holes, bridging the gap between large black hole and thermal AdS limits.

Findings

Correlation functions vary smoothly with black hole size.

Quantities are continuous across the phase transition.

Connects deconfined and confined phases in the microcanonical ensemble.

Abstract

We study finite temperature correlation functions and quasinormal modes in a strongly coupled conformal field theory holographically dual to a small black hole in global Anti-de Sitter spacetime. Upon variation of the black hole radius, our results smoothly interpolate between known limits corresponding to large black holes and thermal AdS space. This implies that the quantities are continuous functions of energy density in the microcanonical ensemble, thus smoothly connecting the deconfined and confined phases that are separated by a first order phase transition in the canonical description.