Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$

dc.creatorFerrara, Sergio
dc.creatorSokatchev, Emery
dc.date2001-10-18
dc.date.accessioned2026-07-07T11:31:56Z
dc.date.available2026-07-07T11:31:56Z
dc.descriptionWe 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), F${}_4$ and OSp($8^*/4$) which underlie maximal AdS supergravity in $4\leq D+1\leq 7$. \\ 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.
dc.descriptionTo be published in NJP Focus Issue: Supersymmetry in condensed matter and high energy physics
dc.identifierhttps://arxiv.org/abs/hep-th/0110174
dc.identifierhttp://arxiv.org/abs/hep-th/0110174
dc.identifierNewJ.Phys.4:2,2002
dc.identifierdoi:10.1088/1367-2630/4/1/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197436
dc.subjectHigh Energy Physics - Theory
dc.titleUniversal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
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