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We present simple first-class-constraint actions and BRST operators for the 4D N=4 superparticle. Each generation of ghosts has 2 super-indices, like the coordinates. The constraints that define projective superspace close in a super Yang-Mills background due to the presence of a (non-central) U(1) generator in the algebra.doi:10.1088/1126-6708/2009/04/058 fatcat:q4qtj27svzd6fdaqsppbrrmypm