2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127321Exact supersymmetry can be maintained on nonanticommutative superspace with a twisted coproduct on the supergroup.We show that the usual exchange statistics for the superfields is not compatible with the twisted action of the superpoincare group and find a statistics which is consistent with the twisted coproduct and imply interesting phenomena such as mixing of fermions and bosons under particle exchange.We also show that with the new statistics, the $S$-matrix becomes completely independent of the deformation parameter.Minor changes, some typos correctedHigh Energy Physics - Theorytext