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arXiv · hep-th/0406154

Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry

V. K. Dobrev
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Abstract

We give character formulae for the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). Using these 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 results from the representation theory of su(2,2/N) developed already in the 80s.

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V. K. Dobrev. 2018-06-01. Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry. https://doi.org/10.1134/s1063779607050024

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