Representations of superconformal algebras in the AdS{sub 7/4}/CFT{sub 6/3} correspondence

Journal Article · Sun Jul 01 04:00:00 EDT 2001 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1374451· OSTI ID:40277804

Ferrara, Sergio; Sokatchev, Emery

We perform a general analysis of representations of the superconformal algebras OSp(8/4, R) and OSp(8{sup *}/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.

• Research Organization: University of California
• Sponsoring Organization: (US)
• DOE Contract Number: FG03-91ER40662
• OSTI ID: 40277804
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 42; ISSN 0022-2488
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CLASSIFICATION
CONSTRUCTION
HARMONICS
MULTIPLETS
SUPERGRAVITY
SUPERSYMMETRY