Gravity amplitudes from a Gaussian matrix model

Jonathan J. Heckman; Herman Verlinde

doi:10.1007/JHEP09(2013)150

Gravity amplitudes from a Gaussian matrix model

Jonathan J. Heckman, Herman Verlinde

Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 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 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)
Article number	150
Journal	Journal of High Energy Physics
Volume	2013
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2013)150
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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10.1007/JHEP09(2013)150

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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 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.",

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AB - 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.

KW - Matrix models

KW - Non-Commutative geometry

KW - Scattering amplitudes

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 150

ER -

Gravity amplitudes from a Gaussian matrix model

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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