Rotating Black Droplet

TL;DR

This paper constructs a holographic dual for a strongly coupled conformal field theory on a rotating black hole, analyzing stress-energy tensors and state degeneracies across different angular momenta.

Contribution

It provides the first detailed holographic construction of the 'jammed' phase of a CFT on a rotating Myers-Perry black hole, including stress tensor analysis for all angular momenta.

Findings

Stress tensor is regular at the horizon for all angular momenta.

Degeneration of states occurs at extremal maximum angular momentum.

Comparison with free field theories on black holes enhances understanding.

Abstract

We construct the gravitational dual, in the Unruh state, of the "jammed" phase of a CFT at strong coupling and infinite N on a fixed five-dimensional rotating Myers-Perry black hole with equal angular momenta. When the angular momenta are all zero, the solution corresponds to the five-dimensional generalization of the solution first studied by Figueras, Lucietti, and Wiseman. In the extremal limit, when the angular momenta of the Myers-Perry black hole are maximum, the Unruh, Boulware and Hartle-Hawking states degenerate. We give a detailed analysis of the corresponding holographic stress energy tensor for all values of the angular momenta, finding it to be regular at the horizon in all cases. We compare our results with existent literature on thermal states of free field theories on black hole backgrounds.