Matrix Models, Emergent Gravity, and Gauge Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages. Based on invited talks given at the Conferences "Quantum Spacetime and Noncommutative Geometry", Rome, 2008 and at "W

Scientific paper

10.1088/1742-6596/174/1/012044

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism for protecting certain geometries from corrections due to the vacuum energy.

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