Gravity Amplitudes from a Gaussian Matrix Model

Understand

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.