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We study the asymptotically flat rotating hairy black hole solution of athree-dimensional gravity theory which is given by taking the flat-space limit(zero cosmological constant limit) of new massive gravity. We propose that thedual field theory of the flat-space limit of new massive gravity can bedescribed by a contracted conformal field theory which is invariant under theaction of the BMS$_{3}$ group. Using the flat/contracted conformal field theorycorrespondence, we construct a stress tensor which yields the conserved chargesof the asymptotically flat black hole solution. We check that our expressionsof the mass and angular momentum fit with the first law of black holethermodynamics. Furthermore, by taking the appropriate limit of the Cardyformula in the parent conformal field theory, we find a Cardy-like formulawhich reproduces the Wald's entropy of the 3D asymptotically flat black hole.

Holography of 3D Asymptotically Flat Black Holes