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Gravity Amplitudes from a Gaussian Matrix Model

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arxiv 1112.5209 v3 pith:OIE6ZVFJ submitted 2011-12-22 hep-th gr-qc

Gravity Amplitudes from a Gaussian Matrix Model

classification hep-th gr-qc
keywords modelmatrixamplitudesbilineargaussianoperatorsactingalgebra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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