Gravity Amplitudes from a Gaussian Matrix Model

TL;DR

This paper presents a reformulation of MHV scattering amplitudes in gauge theory and supergravity as correlation functions within a supersymmetric Gaussian matrix model, revealing new insights into their structure and symmetries.

Contribution

It introduces a novel matrix model framework that captures 4D scattering amplitudes and exhibits emergent space-time in the large N limit.

Findings

Correlation functions reproduce MHV amplitudes

Emergent flat 4D space-time in the large N limit

Model maintains S(4) symmetry with a built-in cutoff

Abstract

We reformulate MHV scattering amplitudes in 4D gauge theory and supergravity as correlation functions of bilinear operators in a supersymmetric gaussian matrix model. The model retains the symmetries of an S(4) of radius L and the matrix variables are represented as linear operators acting on a finite-dimensional Hilbert space. Bilinear fields of the model generate a current algebra. In the large N double scaling limit where l_pl ~ L / sqrt(N) is held fixed, there is an emergent flat 4D space-time with a built in short distance cutoff.