On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets
Abstract We elaborate on the structure of higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets in four dimensions. It is shown that associated with every conformal supercurrent J α m α ⋅ n $$ {J}_{\alpha (m)\overset{\cdot }{\alpha }(n)} $$ (with m, n non-negative integers) is a descendant J α...
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ftdoajarticles:oai:doaj.org/article:ed66a2bae42b4a39a19436b3edd462b9 2023-10-01T03:54:22+02:00 On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets Sergei M. Kuzenko Emmanouil S. N. Raptakis 2023-05-01T00:00:00Z https://doi.org/10.1007/JHEP05(2023)056 https://doaj.org/article/ed66a2bae42b4a39a19436b3edd462b9 EN eng SpringerOpen https://doi.org/10.1007/JHEP05(2023)056 https://doaj.org/toc/1029-8479 doi:10.1007/JHEP05(2023)056 1029-8479 https://doaj.org/article/ed66a2bae42b4a39a19436b3edd462b9 Journal of High Energy Physics, Vol 2023, Iss 5, Pp 1-21 (2023) Extended Supersymmetry Supergravity Models Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 article 2023 ftdoajarticles https://doi.org/10.1007/JHEP05(2023)056 2023-09-03T00:54:58Z Abstract We elaborate on the structure of higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets in four dimensions. It is shown that associated with every conformal supercurrent J α m α ⋅ n $$ {J}_{\alpha (m)\overset{\cdot }{\alpha }(n)} $$ (with m, n non-negative integers) is a descendant J α m + 1 α ⋅ n + 1 ij $$ {J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{ij} $$ with the following properties: (a) it is a linear multiplet with respect to its SU(2) indices, that is D β ( i J α m + 1 α ⋅ n + 1 jk ) = 0 $$ {D}_{\beta}^{\Big(i}{J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{jk\Big)}=0 $$ and D ¯ β ̇ ( i J α m + 1 α ⋅ n + 1 jk ) = 0 $$ {\overline{D}}_{\dot{\beta}}^{\Big(i}{J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{jk\Big)}=0 $$ and (b) it is conserved, ∂ β β ⋅ J βα m β ⋅ α ⋅ n ij = 0 $$ {\partial}^{\beta \overset{\cdot }{\beta }}{J}_{\beta \alpha (m)\overset{\cdot }{\beta}\overset{\cdot }{\alpha }(n)}^{ij}=0 $$ . Realisations of the conformal supercurrents J α s α ⋅ s $$ {J}_{\alpha (s)\overset{\cdot }{\alpha }(s)} $$ , with s = 0, 1, …, are naturally provided by a massless hypermultiplet and a vector multiplet. It turns out that such supercurrents and their linear descendants J α s + 1 α ⋅ s + 1 ij $$ {J}_{\alpha \left(s+1\right)\overset{\cdot }{\alpha}\left(s+1\right)}^{ij} $$ do not occur in the harmonic-superspace framework recently described by Buchbinder, Ivanov and Zaigraev. Making use of a massive hypermultiplet, we derive non-conformal higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets. Additionally, we derive the higher symmetries of the kinetic operators for both a massive and massless hypermultiplet. Building on this analysis, we sketch the construction of higher-derivative gauge transformations for the off-shell arctic multiplet Υ(1), which are expected to be vital in the framework of consistent interactions between Υ(1) and superconformal higher-spin gauge multiplets. Article in Journal/Newspaper Arctic Directory of Open Access Journals: DOAJ Articles Arctic Journal of High Energy Physics 2023 5 |
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Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Extended Supersymmetry Supergravity Models Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
spellingShingle |
Extended Supersymmetry Supergravity Models Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Sergei M. Kuzenko Emmanouil S. N. Raptakis On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
topic_facet |
Extended Supersymmetry Supergravity Models Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
description |
Abstract We elaborate on the structure of higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets in four dimensions. It is shown that associated with every conformal supercurrent J α m α ⋅ n $$ {J}_{\alpha (m)\overset{\cdot }{\alpha }(n)} $$ (with m, n non-negative integers) is a descendant J α m + 1 α ⋅ n + 1 ij $$ {J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{ij} $$ with the following properties: (a) it is a linear multiplet with respect to its SU(2) indices, that is D β ( i J α m + 1 α ⋅ n + 1 jk ) = 0 $$ {D}_{\beta}^{\Big(i}{J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{jk\Big)}=0 $$ and D ¯ β ̇ ( i J α m + 1 α ⋅ n + 1 jk ) = 0 $$ {\overline{D}}_{\dot{\beta}}^{\Big(i}{J}_{\alpha \left(m+1\right)\overset{\cdot }{\alpha}\left(n+1\right)}^{jk\Big)}=0 $$ and (b) it is conserved, ∂ β β ⋅ J βα m β ⋅ α ⋅ n ij = 0 $$ {\partial}^{\beta \overset{\cdot }{\beta }}{J}_{\beta \alpha (m)\overset{\cdot }{\beta}\overset{\cdot }{\alpha }(n)}^{ij}=0 $$ . Realisations of the conformal supercurrents J α s α ⋅ s $$ {J}_{\alpha (s)\overset{\cdot }{\alpha }(s)} $$ , with s = 0, 1, …, are naturally provided by a massless hypermultiplet and a vector multiplet. It turns out that such supercurrents and their linear descendants J α s + 1 α ⋅ s + 1 ij $$ {J}_{\alpha \left(s+1\right)\overset{\cdot }{\alpha}\left(s+1\right)}^{ij} $$ do not occur in the harmonic-superspace framework recently described by Buchbinder, Ivanov and Zaigraev. Making use of a massive hypermultiplet, we derive non-conformal higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets. Additionally, we derive the higher symmetries of the kinetic operators for both a massive and massless hypermultiplet. Building on this analysis, we sketch the construction of higher-derivative gauge transformations for the off-shell arctic multiplet Υ(1), which are expected to be vital in the framework of consistent interactions between Υ(1) and superconformal higher-spin gauge multiplets. |
format |
Article in Journal/Newspaper |
author |
Sergei M. Kuzenko Emmanouil S. N. Raptakis |
author_facet |
Sergei M. Kuzenko Emmanouil S. N. Raptakis |
author_sort |
Sergei M. Kuzenko |
title |
On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
title_short |
On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
title_full |
On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
title_fullStr |
On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
title_full_unstemmed |
On higher-spin N $$ \mathcal{N} $$ = 2 supercurrent multiplets |
title_sort |
on higher-spin n $$ \mathcal{n} $$ = 2 supercurrent multiplets |
publisher |
SpringerOpen |
publishDate |
2023 |
url |
https://doi.org/10.1007/JHEP05(2023)056 https://doaj.org/article/ed66a2bae42b4a39a19436b3edd462b9 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Journal of High Energy Physics, Vol 2023, Iss 5, Pp 1-21 (2023) |
op_relation |
https://doi.org/10.1007/JHEP05(2023)056 https://doaj.org/toc/1029-8479 doi:10.1007/JHEP05(2023)056 1029-8479 https://doaj.org/article/ed66a2bae42b4a39a19436b3edd462b9 |
op_doi |
https://doi.org/10.1007/JHEP05(2023)056 |
container_title |
Journal of High Energy Physics |
container_volume |
2023 |
container_issue |
5 |
_version_ |
1778521909071183872 |