Holography and Rotating AdS Black Holes

TL;DR

This paper investigates the thermodynamics of rotating AdS black holes and their dual conformal field theories, finding agreement in thermodynamic quantities at high temperatures, thus supporting the AdS/CFT correspondence.

Contribution

It extends the comparison of black hole thermodynamics and gauge theory to rotating black holes in AdS space, confirming the correspondence in this more general setting.

Findings

Thermodynamics of rotating AdS black holes matches gauge theory predictions at high temperatures.

The 4/3 factor discrepancy observed in nonrotating cases persists for rotating black holes.

The study supports the robustness of the AdS/CFT correspondence in rotating backgrounds.

Abstract

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In the high temperature limit, we find agreement between gauge theory and gravity in all thermodynamic quantities upto the same factor of 4/3 that appears for nonrotating holes.