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

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), 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 s...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Sokatchev, Emery
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1367-2630/4/1/302
http://cds.cern.ch/record/523794
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author Ferrara, Sergio
Sokatchev, Emery
author_facet Ferrara, Sergio
Sokatchev, Emery
author_sort Ferrara, Sergio
collection CERN
description 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), 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.
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spelling cern-5237942023-03-14T20:05:41Zdoi:10.1088/1367-2630/4/1/302http://cds.cern.ch/record/523794engFerrara, SergioSokatchev, EmeryUniversal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$Particle Physics - TheoryWe 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.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), 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.hep-th/0110174CERN-TH-2001-285LAPTH-872-01CERN-TH-2001-285LAPP-TH-872oai:cds.cern.ch:5237942001-10-18
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Sokatchev, Emery
Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title_full Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title_fullStr Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title_full_unstemmed Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title_short Universal properties of superconformal OPEs for 1/2 BPS operators in $3\leq D \leq 6$
title_sort universal properties of superconformal opes for 1/2 bps operators in $3\leq d \leq 6$
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1367-2630/4/1/302
http://cds.cern.ch/record/523794
work_keys_str_mv AT ferrarasergio universalpropertiesofsuperconformalopesfor12bpsoperatorsin3leqdleq6
AT sokatchevemery universalpropertiesofsuperconformalopesfor12bpsoperatorsin3leqdleq6

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