In zero dimensions (often known as matrix mechanics), it is possible to have supersymmetry, but have no superpartners, but this is the only example where supersymmetry does not imply the existence of superpartners.
It is possible to have supersymmetry. This is in zero dimensions (often known as matrix mechanics). It have no superpartners. This is in zero dimensions (often known as matrix mechanics). This is the only example where supersymmetry does not imply the existence of superpartners.