Special Geometries Emerging from Yang-Mills Type Matrix Models

Abstract

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.

10 pages, 2 figures; talk given at the Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity, September 8-12, 2010, Corfu/Greece

References in corpus (4)

• Gauge Theories on Deformed Spaces
• Schwarzschild Geometry Emerging from Matrix Models
• Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
• Approximate solutions in General Relativity via deformation of embeddings