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arxiv: 1101.5315 · v1 · pith:4BPFXCZHnew · submitted 2011-01-27 · ✦ hep-th · gr-qc

Special Geometries Emerging from Yang-Mills Type Matrix Models

classification ✦ hep-th gr-qc
keywords matrixtypeactionbranesgeometriesmodelsstructuresyang-mills
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I review some recent results which demonstrate how various geometries, such as Schwarzschild and Reissner-Nordstroem, can emerge from Yang-Mills type matrix models with branes. Furthermore, explicit embeddings of these branes as well as appropriate Poisson structures and star-products which determine the non-commutativity of space-time are provided. These structures are motivated by higher order terms in the effective matrix model action which semi-classically lead to an Einstein-Hilbert type action.

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