Character formulae for the positive-energy unitary irreducible representations of the N-extended D = 4 conformal superalgebras su(2,2/N) are given. Using them we also derive decompositions of long superfields as they descend to the unitarity threshold. These results are also applicable to irreps of the complex Lie superalgebras sl(4/N). Our derivations use the results from the representation theory of su(2,2/N) developed already in the 1980s.

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