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arXiv · 1112.5209

Gravity Amplitudes from a Gaussian Matrix Model

Jonathan J. Heckman·Herman Verlinde
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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.

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Jonathan J. Heckman, Herman Verlinde. 2013-11-04. Gravity Amplitudes from a Gaussian Matrix Model. https://arxiv.org/abs/1112.5209

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