A Holographic Construction of MHV Graviton Amplitudes in Celestial CFT

TL;DR

This paper demonstrates that tree-level MHV graviton amplitudes can be represented as correlators in a specific 2D conformal field theory, revealing a holographic duality in celestial CFT.

Contribution

It constructs a holographic model for MHV graviton amplitudes using a 2D CFT with Liouville theory, Kac-Moody currents, and free fermions, in the large-N semiclassical limit.

Findings

Tree-level MHV graviton amplitudes are generated as 2D CFT correlators.

The 2D CFT includes Liouville theory, SO(N) Kac-Moody currents, and free fermions.

Holographic correspondence is established in the large-N, semiclassical limit.

Abstract

In this note, we show that tree-level MHV $n$-graviton amplitudes, when analytically continued to Klein space, can be holographically generated as the correlators of a two-dimensional conformal field theory ($2d$ CFT) in the large-$N$ semiclassical $b\rightarrow0$ limit. This $2d$ CFT is composed of a Liouville field theory, coupled to a level-one $SO\left(N\right)$ Kac-Moody current, and a doublet of free fermions residing on $\mathbf{CP}^{1}$.