Short representations of SU(2,2/N) and harmonic superspace analyticity

We consider the harmonic superspaces associated to SU(2,2/N) superconformal algebras. For arbitrary N, we show that massless representations, other than the chiral ones, correspond to [N/2] ``elementary'' ultrashort analytic superfields whose first component is a scalar in the k antisymmet...

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Detalles Bibliográficos
Autores principales: Ferrara, S., Sokatchev, E.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1023/A:1007641619266
http://cds.cern.ch/record/412659
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author Ferrara, S.
Sokatchev, E.
author_facet Ferrara, S.
Sokatchev, E.
author_sort Ferrara, S.
collection CERN
description We consider the harmonic superspaces associated to SU(2,2/N) superconformal algebras. For arbitrary N, we show that massless representations, other than the chiral ones, correspond to [N/2] ``elementary'' ultrashort analytic superfields whose first component is a scalar in the k antisymmetric irrep of SU(N) (k=1... [N/2]) with top spin $J_{\rm\scriptsize top}= (N/2-k/2,0)$. For N=2n we analyze UIR's obtained by tensoring the self-conjugate ultrashort multiplet $J_{\rm\scriptsize top}$= (n/2,0) and show that N-1 different basic products give rise to all possible UIR's with residual shortening.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
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spelling cern-4126592023-03-31T03:18:57Zdoi:10.1023/A:1007641619266http://cds.cern.ch/record/412659engFerrara, S.Sokatchev, E.Short representations of SU(2,2/N) and harmonic superspace analyticityParticle Physics - TheoryWe consider the harmonic superspaces associated to SU(2,2/N) superconformal algebras. For arbitrary N, we show that massless representations, other than the chiral ones, correspond to [N/2] ``elementary'' ultrashort analytic superfields whose first component is a scalar in the k antisymmetric irrep of SU(N) (k=1... [N/2]) with top spin $J_{\rm\scriptsize top}= (N/2-k/2,0)$. For N=2n we analyze UIR's obtained by tensoring the self-conjugate ultrashort multiplet $J_{\rm\scriptsize top}$= (n/2,0) and show that N-1 different basic products give rise to all possible UIR's with residual shortening.We consider the harmonic superspaces associated to SU(2,2/N) superconformal algebras. For arbitrary N, we show that massless representations, other than the chiral ones, correspond to [N/2] "elementary" ultrashort analytic superfields whose first component is a scalar in the k antisymmetric irrep of SU(N) (k=1... [N/2]) with top spin $J_{\rm\scriptsize top}= (N/2-k/2,0)$. For N=2n we analyze UIR's obtained by tensoring the self-conjugate ultrashort multiplet $J_{\rm\scriptsize top}$= (n/2,0) and show that N-1 different basic products give rise to all possible UIR's with residual shortening.hep-th/9912168CERN-TH-99-399LAPTH-772-99oai:cds.cern.ch:4126591999
spellingShingle Particle Physics - Theory
Ferrara, S.
Sokatchev, E.
Short representations of SU(2,2/N) and harmonic superspace analyticity
title Short representations of SU(2,2/N) and harmonic superspace analyticity
title_full Short representations of SU(2,2/N) and harmonic superspace analyticity
title_fullStr Short representations of SU(2,2/N) and harmonic superspace analyticity
title_full_unstemmed Short representations of SU(2,2/N) and harmonic superspace analyticity
title_short Short representations of SU(2,2/N) and harmonic superspace analyticity
title_sort short representations of su(2,2/n) and harmonic superspace analyticity
topic Particle Physics - Theory
url https://dx.doi.org/10.1023/A:1007641619266
http://cds.cern.ch/record/412659
work_keys_str_mv AT ferraras shortrepresentationsofsu22nandharmonicsuperspaceanalyticity
AT sokatcheve shortrepresentationsofsu22nandharmonicsuperspaceanalyticity

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