Representations of superconformal algebras in the AdS7/4/CFT6/3 correspondence | Zendy

S. Ferrara | Zendy; E. Sokatchev | Zendy

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Representations of superconformal algebras in the AdS7/4/CFT6/3 correspondence

Author(s) -

S. Ferrara,

E. Sokatchev

Publication year - 2001

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1374451

Subject(s) - supergravity , superfield , conformal map , invariant (physics) , massless particle , pure mathematics , superspace , physics , supersymmetry , mathematical physics , superconformal algebra , dimension (graph theory) , mathematics , algebra over a field , mathematical analysis

We perform a general analysis of representations of the superconformalalgebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present aconstruction of their highest-weight UIR's by multiplication of the differenttypes 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 supergravitytheory in anti-de Sitter space. These results are relevant for theclassification of multitrace operators in boundary conformally invarianttheories as well as for the classification of AdS black holes preservingdifferent fractions of supersymmetry.Comment: To appear in the proceedings of Strings 200

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