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Noncommutative gauge theory and symmetry breaking in matrix models
2010
Physical Review D
We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than 4 dimensions, a SU(n) gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to SU(3)_c x SU(2)_L x U(1)_Q (resp. SU(3)_c x U(1)_Q), which couples appropriately to all fields in the standard model. An additional
doi:10.1103/physrevd.81.085034
fatcat:xb6hyzwokbdcpgsdf5lqyttc7q