On the Embedding of Space-Time Symmetries into Simple Superalgebras

We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,...

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Detalles Bibliográficos
Autores principales: D'Auria, R., Ferrara, S., Lledo, M.A.
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1023/A:1017950711091
http://cds.cern.ch/record/487026
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author D'Auria, R.
Ferrara, S.
Lledo, M.A.
author_facet D'Auria, R.
Ferrara, S.
Lledo, M.A.
author_sort D'Auria, R.
collection CERN
description We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.
id cern-487026
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-4870262023-03-12T06:00:01Zdoi:10.1023/A:1017950711091http://cds.cern.ch/record/487026engD'Auria, R.Ferrara, S.Lledo, M.A.On the Embedding of Space-Time Symmetries into Simple SuperalgebrasParticle Physics - TheoryWe explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.hep-th/0102060CERN-TH-2000-380CERN-TH-2000-380oai:cds.cern.ch:4870262001-02-12
spellingShingle Particle Physics - Theory
D'Auria, R.
Ferrara, S.
Lledo, M.A.
On the Embedding of Space-Time Symmetries into Simple Superalgebras
title On the Embedding of Space-Time Symmetries into Simple Superalgebras
title_full On the Embedding of Space-Time Symmetries into Simple Superalgebras
title_fullStr On the Embedding of Space-Time Symmetries into Simple Superalgebras
title_full_unstemmed On the Embedding of Space-Time Symmetries into Simple Superalgebras
title_short On the Embedding of Space-Time Symmetries into Simple Superalgebras
title_sort on the embedding of space-time symmetries into simple superalgebras
topic Particle Physics - Theory
url https://dx.doi.org/10.1023/A:1017950711091
http://cds.cern.ch/record/487026
work_keys_str_mv AT dauriar ontheembeddingofspacetimesymmetriesintosimplesuperalgebras
AT ferraras ontheembeddingofspacetimesymmetriesintosimplesuperalgebras
AT lledoma ontheembeddingofspacetimesymmetriesintosimplesuperalgebras

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