Gravity Amplitudes from a Gaussian Matrix Model
High Energy Physics - Theory
2013-11-05 v3 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1112.5209,
title = {Gravity Amplitudes from a Gaussian Matrix Model},
author = {Jonathan J. Heckman and Herman Verlinde},
journal= {arXiv preprint arXiv:1112.5209},
year = {2013}
}
Comments
v3: 55 pages, 4 figures, clarifications added