Conformal superfields and BPS states in AdS_4/7 geometries

Details Conformal superfields and BPS states in AdS_4/7 geometries Conformal superfields and BPS states in AdS_4/7 geometries

2000-07-07

arxiv.org/abs/hep-th/0007058v1

Int.J.Mod.Phys. B14 (2000) 2315

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the proceedings of the Euroconference ``Noncommutative geometry and Hopf algebras in field theory and particle ph

Scientific paper

10.1142/S0217979200001837

We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless conformal superfields ("supersingletons"). Particular attention is paid to the so-called "short multiplets". 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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