Abstract
Disregarding infrared problems and vacuum degeneracy we investigate the symmetry structure of a conformal invariant supersymmetric theory which has a non-trivial S-matrix and the property of particle finiteness. We find that the CPT transformation acts in a simple manner on the generators of the supersymmetries. If fermion number is conserved and commutes with the generators of the internal symmetries then parity and charge conjugation are violated.
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