Aspects of holography and rotating AdS black holes

TL;DR

This paper compares the thermodynamics of weakly and strongly coupled Yang-Mills theories with fixed angular momentum, revealing a universal ratio of free energies using holographic duality with rotating AdS black holes.

Contribution

It demonstrates that the ratio of free energies between strong and weak coupling remains constant at 3/4, regardless of angular momentum, using a holographic supergravity approach.

Findings

The free energy ratio of 3/4 is independent of angular momentum.

Strong and weak coupling thermodynamics show similar ratios.

Holographic duality effectively captures thermodynamic properties.

Abstract

A comparison is made between the thermodynamics of weakly and strongly coupled Yang-Mills with fixed angular momentum. The free energy of the strongly coupled Yang-Mills is calculated by using a dual supergravity description corresponding to a rotating black hole in an Anti de Sitter (AdS) background. All thermodynamic quantities are shown have the same ratio of 3/4 (independent of angular momentum) between strong and weak coupling.