A modification of the usual extended $N=2$ super symmetry algebra implementing the two dimensional permutation group is performed. It is shown that one can found a multiplet that forms an off-shell realization of this alternative extension of standard super symmetry.
N. Djeghloul. M. Tahiri. "A Modified $N=2$ Extended Supersymmetry." J. Phys. Math. 5 (1) 1 - 4, 2014. https://doi.org/10.4172/2090-0902.1000123