Unparticle physics and supersymmetry phenomenology

We show a natural form of the interaction between the unparticle and supersymmetry. Using the couplings of the unparticle to supersymmetry presented, as examples, we calculate the differential decay rates for the processes f -> f+U-3/2, chi(0)->gamma+U-3/2, chi(+/-)-> W-+/-+U-3/2 and chi(0)-> Z(0)+U-3/2. Finally, we discuss the phenomenological implication of our results and give some comments.