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

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

2004-06-18

arxiv.org/abs/hep-th/0406154v6

Phys.Part.Nucl.38:564-609,2007

Physics

High Energy Physics

High Energy Physics - Theory

79 pages, input files: harvmac, amssym.def, amssym.tex; v2: added footnote; v3: various improvements; v4: improvement of expos

Scientific paper

10.1134/S1063779607050024

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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