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We show how the fields and particles of the standard model can be naturallyrealized in noncommutative gauge theory. Starting with a Yang-Mills matrixmodel in more than 4 dimensions, a SU(n) gauge theory on a Moyal-Weyl spacearises with all matter and fields in the adjoint of the gauge group. We showhow this gauge symmetry can be broken spontaneously down to SU(3)_c x SU(2)_L xU(1)_Q (resp. SU(3)_c x U(1)_Q), which couples appropriately to all fields inthe standard model. An additional U(1)_B gauge group arises which is anomalousat low energies, while the trace-U(1) sector is understood in terms of emergentgravity. A number of additional fields arise which we assume to be massive, ina pattern that is reminiscent of supersymmetry. The symmetry breaking mightarise via spontaneously generated fuzzy spheres, in which case the mechanism issimilar to brane constructions in string theory.

Noncommutative gauge theory and symmetry breaking in matrix models