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arXiv · 1512.07597

Super-Entropic Black Holes and the Kerr-CFT Correspondence

Musema Sinamuli·Robert B. Mann
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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.

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Musema Sinamuli, Robert B. Mann. 2015-12-23. Super-Entropic Black Holes and the Kerr-CFT Correspondence. https://doi.org/10.1007/jhep08(2016)148

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