Celestial CFT from $H_3^+$-WZW Model

TL;DR

This paper proposes a candidate celestial conformal field theory derived from the $H_3^+$-WZW model, successfully reproducing known correlation functions and scattering amplitudes in the context of flat spacetime holography.

Contribution

It introduces a specific dual CFT from the $H_3^+$-WZW model for Minkowski spacetime, connecting it to celestial holography and bulk scattering amplitudes.

Findings

Reproduces principal series correlation functions

Matches bulk scattering amplitudes

Provides a candidate dual CFT for flat spacetime holography

Abstract

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.