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 S4 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 ℓpl ∼ ℓ/√N is held fixed, there is an emergent flat 4D space-time with a built in short distance cutoff.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Matrix models
- Non-Commutative geometry
- Scattering amplitudes