Special Geometries Emerging from Yang-Mills Type Matrix Models

Details Special Geometries Emerging from Yang-Mills Type Matrix Models Special Geometries Emerging from Yang-Mills Type Matrix Models

2011-01-27

arxiv.org/abs/1101.5315v1

PoS CNCFG2010:011,2011

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures; talk given at the Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutativ

Scientific paper

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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