  We consider families of charged rotating asymptotically AdS5 Extremal black
holes with Vanishing Horizon (EVH black holes) whose near horizon geometries
develop locally AdS3 throats. Using the AdS3/CFT2 duality, we propose an
EVH/CFT2 correspondence to describe the near-horizon low energy IR dynamics of
near-EVH black holes involving a specific large N limit of the 4d N = 4 SYM. We
give a map between the UV and IR near-EVH excitations, showing that the UV
first law of thermodynamics reduces to the IR first law satisfied by the near
horizon BTZ black holes in this near-EVH limit. We also discuss the connection
between our EVH/CFT proposal and the Kerr/CFT correspondence in the cases where
the two overlap.
