Aspects of flat/CCFT correspondence

Flat/contracted conformal field theory (CCFT) is a correspondence between gravity in asymptotically flat backgrounds and a field theory which is given by contraction of conformal field theory. In order to find a dictionary for flat/CCFT correspondence one can start from the AdS/CFT and take the contraction of CFT in the boundary as the dual description of the flat-space limit (zero cosmological constant limit) of the asymptotically AdS spacetimes in the bulk side. In this paper we show that the Cardy-like formula of CCFT₂ is given by contraction of a proper formula in the CFT₂. This formula is the modified Cardy formula which gives the entropy of inner horizon of BTZ black holes. (paper)