Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence

Details Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence

2000-10-15

arxiv.org/abs/hep-th/0010117v1

J.Math.Phys. 42 (2001) 3015-3026

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the proceedings of Strings 2000

Scientific paper

We perform a general analysis of representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless conformal superfields ("supersingletons"). In particular, all "short multiplets" are classified. Representations undergoing shortening have "protected dimension" and may correspond to BPS states in the dual supergravity theory in anti-de Sitter space. These results are relevant for the classification of multitrace operators in boundary conformally invariant theories as well as for the classification of AdS black holes preserving different fractions of supersymmetry.

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