Super-Entropic Black Holes and the Kerr-CFT Correspondence

TL;DR

This paper extends the Kerr-CFT duality to super-entropic black holes with non-compact horizons, demonstrating the robustness of the duality and matching entropies across various dimensions and spins.

Contribution

It shows that Kerr-CFT duality applies to super-entropic black holes, including those with non-compact horizons, and confirms the entropy correspondence in these cases.

Findings

Kerr-CFT duality extends to super-entropic black holes.

The duality is robust under ultra-spinning and near-horizon limits.

Entropy calculations match between Bekenstein-Hawking and CFT descriptions.

Abstract

We demonstrate that Kerr-CFT duality can be extended to super-entropic black holes, which have non-compact horizons with finite area. We demonstrate that this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black hole (which yields the super-entropic class)commutes with the near-horizon limit (which yields the Kerr-CFT duality). Consequently the Bekeinstein-Hawking and the CFT entropies are equivalent. We show that the duality holds for both singly-spinning super-entropic black holes in 4 dimensions and for doubly-spinning super-entropic black holes of gauged supergravity in 5 dimensions. In both cases we obtain not only the expected left/right temperatures, but also temperatures associated with electric charge and with a new thermodynamic parameter specific to super-entropic black holes.