Towards brane-worlds in Yang-Mills matrix models

Brane solutions of Yang-Mills matrix models with 4 noncompact directions are discussed, focusing on the dynamics of the geometry and the low-energy physics on such branes. We show that matter leads to a perturbation of the 4-dimensional geometry and to some type of effective gravity in the matrix model, without invoking an Einstein-Hilbert term. This requires the presence of compactified extra dimensions with extrinsic curvature. We also sketch how the field content of the standard model fields can be realized in such a scenario.