### 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/√N is held fixed, there is an emergent flat 4D space-time with a built in short distance cutoff.

Original language | English (US) |
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Article number | 150 |

Journal | Journal of High Energy Physics |

Volume | 2013 |

Issue number | 9 |

DOIs | |

State | Published - Sep 2013 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- Matrix models
- Non-Commutative geometry
- Scattering amplitudes

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## Cite this

Heckman, J. J., & Verlinde, H. (2013). Gravity amplitudes from a Gaussian matrix model.

*Journal of High Energy Physics*,*2013*(9), [150]. https://doi.org/10.1007/JHEP09(2013)150