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

Abstract

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.

To appear in the proceedings of Strings 2000

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Cited by in corpus (14)

• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Superalgebra for M-theory on a pp-wave
• Superconformal symmetry and maximal supergravity in various dimensions
• Supersymmetric objects in the M-theory on a pp-wave
• On Superconformal Characters and Partition Functions in Three Dimensions
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Positive energy unitary irreducible representations of D=6 conformal supersymmetry
• Supercoherent States of OSp(8*|2N), Conformal Superfields and the AdS_7/CFT_6 Duality
• Minimal unitary representation of SO*(8) = SO(6,2) and its SU(2) deformations as massless 6D conformal fields and their supersymmetric extensions
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• SU(2) deformations of the minimal unitary representation of OSp(8*|2N) as massless 6D conformal supermultiplets
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry