Gravity amplitudes from a Gaussian matrix model

Abstract

We reformulate MHV scattering amplitudes in 4D gauge theory and super- gravity 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 $ {\ell_{pl }}\sim {\ell \left/ {{\sqrt{N}}} \right.} $ is held fixed, there is an emergent flat 4D space-time with a built in short distance cutoff.