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2015

Super-Entropic Black Holes and the Kerr-CFT Correspondence

Sinamuli, Musema, Mann, Robert B.

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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.

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G.Barnich and G. Compere, ”Surface Charge Algebra in Gauge Theories and Thermodynamic Integrability,” J. Math. Phys. 49
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D. Chow, M. Cvetic, H. Lu, and C. Pope, ”Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities,” arXiv:0812.2918v2 [hep-th]
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Then

N. Altamirano, D. Kubiznak, R. B. Mann and Z. Sherkatghanad, “Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume,” Galaxies 2
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R. A. Hennigar, D. Kubiznak and R. B. Mann, “Entropy Inequality Violations from Ultraspinning Black Holes,” Phys. Rev. Lett. 115
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R. A. Hennigar, D. Kubiznak, R. B. Mann and N. Musoke, “Ultraspinning limits and super-entropic black holes,” JHEP 1506
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H. K. Kunduri and J. Lucietti, ”A Classification of Near-Horizon Geometries of Extremal Vacuum Black Holes,” arXiv:0806.2051 [hep-th]
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2051
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