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Paper IPM / Physic / 12621  


Abstract:  
We consider certain families of charged rotating asymptotically AdS5 Extremal black holes with Vanishing Horizon (EVH black holes) which develop locally AdS3 throats in near horizon geometries. We then propose an EVH/CFT2 correspondence, which is the AdS3/CFT2 duality specialized for the EVH black holes, to describe the nearhorizon low energy IR dynamics of nearEVH black holes. We argue that the nearEVH, near horizon limit is welldefined, and presumably a decoupling limit, if we also take a certain large N limit in the UV 4d U(N) dual field theory. We give a map between the UV nearEVH excitations and the IR ones, which geometrically appear as BTZ mass and angular momentum, and show that the `UV first law' of thermodynamics reduces to the `IR first law' of the BTZ black hole in the nearEVH limit. We also discuss the connection between our EVH/CFT proposal and the Kerr/CFT in the cases where the two overlap.
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