  Most extreme-mass-ratio-inspirals of small compact objects into supermassive
black holes end with a fast plunge from an eccentric last stable orbit. For
rapidly rotating black holes such fast plunges may be studied in the context of
the Kerr/CFT correspondence because they occur in the near-horizon region where
dynamics are governed by the infinite dimensional conformal symmetry. In this
paper we use conformal transformations to analytically solve for the radiation
emitted from fast plunges into near-extreme Kerr black holes. We find perfect
agreement between the gravity and CFT computations.
