Positive energy unitary irreducible representations of D=6 conformal supersymmetry

Details Positive energy unitary irreducible representations of D=6 conformal supersymmetry Positive energy unitary irreducible representations of D=6 conformal supersymmetry

2002-01-13

arxiv.org/abs/hep-th/0201076v4

J.Phys.A35:7079-7100,2002

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, TeX with harvmac, amssym.def, amssym.tex; v.2: minor corrections and references added; v.3: minor corrections; v.4:

Scientific paper

10.1088/0305-4470/35/33/308

We give a constructive classification of the positive energy (lowest weight) unitary irreducible representations of the D=6 superconformal algebras osp(8*/2N). Our results confirm all but one of the conjectures of Minwalla (for N=1,2) on this classification. Our main tool is the explicit construction of the norms of the states that has to be checked for positivity. We give also the reduction of the exceptional UIRs.

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