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Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence

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...

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Autores principales: Ferrara, Sergio, Sokatchev, Emery
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:https://dx.doi.org/10.1063/1.1374451
http://cds.cern.ch/record/468833
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author Ferrara, Sergio
Sokatchev, Emery
author_facet Ferrara, Sergio
Sokatchev, Emery
author_sort Ferrara, Sergio
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4688332023-03-20T09:52:53Zdoi:10.1063/1.1374451http://cds.cern.ch/record/468833engFerrara, SergioSokatchev, EmeryRepresentations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondenceParticle Physics - TheoryWe 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.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.hep-th/0010117CERN-TH-2000-298LAPTH-815-2000CERN-TH-2000-298LAPP-TH-815oai:cds.cern.ch:4688332000-10-15
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Sokatchev, Emery
Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title_full Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title_fullStr Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title_full_unstemmed Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title_short Representations of superconformal algebras in the $AdS_{7/4}/CFT_{6/3}$ correspondence
title_sort representations of superconformal algebras in the $ads_{7/4}/cft_{6/3}$ correspondence
topic Particle Physics - Theory
url https://dx.doi.org/10.1063/1.1374451
http://cds.cern.ch/record/468833
work_keys_str_mv AT ferrarasergio representationsofsuperconformalalgebrasintheads74cft63correspondence
AT sokatchevemery representationsofsuperconformalalgebrasintheads74cft63correspondence