2001/10/18 by S. Ferrara, Sergio Ferrara, E. Sokatchev +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Advanced Topics in Algebra #Black Holes and Theoretical Physics #hep-th
paper · pdf · doi:10.1088/1367-2630/4/1/302
published as NewJ.Phys.4:2,2002 · To be published in NJP Focus Issue: Supersymmetry in condensed matter and high energy physics
arxiv created 2001/10/18 · openalex publication_date 2002/01/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We give a general analysis of OPEs of 1/2 BPS superfield operators for the D = 3, 4, 5, 6 superconformal algebras OSp (8/4, R ), PSU (2, 2/4), F 4 and OSp (8*/4) which underlie maximal AdS supergravity in 4 ⩽ D + 1 ⩽ 7. The corresponding three-point functions can be formally factorized in a way similar to the decomposition of a generic superconformal UIR into a product of supersingletons. This allows for a simple derivation of branching rules for primary superfields. The operators of protected conformal dimension which may appear in the OPE are classified and are shown to be either 1/2 or 1/4 BPS, or semishort. As an application, we discuss the `non-renormalization' of extremal n -point correlators.