Super-entropic black holes and the Kerr-CFT correspondence

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 bekenstein-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.