  Recently, there has been a growing interest in celestial holography, which is
holography in asymptotically flat spacetimes. This holographic duality exhibits
numerous mysterious and fruitful features, particularly on the dual CFT side.
In this paper, we present the candidate of dual CFT for Minkowski spacetime
extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW)
model, the simplest non-compact CFT. We demonstrate that it reproduces the
well-known principal series and correlation functions dual to the bulk
scattering amplitudes.
