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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | https://arxiv.org/abs/2408.00668 |
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| _version_ | 1866914965141585920 |
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| author | Zaigraev, Nikita |
| author_facet | Zaigraev, Nikita |
| contents | We have constructed conserved $\mathcal{N}=2$ higher-spin supercurrents for an arbitrary integer spin through the unconstrained superfield formulation of $4D,\, \mathcal{N}=2$ massless higher-spin theories in the harmonic superspace. The obtained supercurrents are gauge-invariant and determine consistent cubic interactions in the \textit{gauge superfield} $\times$ \textit{supercurrent} form for massless spin $\mathbf{s_1}$ and two massless spin $\mathbf{s_2}$ $\mathcal{N}=2$ supermultiplets. Such interactions and $\mathcal{N}=2$ supercurrents exist only for $\mathbf{s_1}\geq 2 \mathbf{s_2}$. These supercurrents are the $\mathcal{N}=2$ supersymmetric extension of Berends-Burgers-van Dam higher-spin currents and generalize the linearized Bel-Robinson tensor. The relevant $\mathcal{N}=2$ supercurrents can be considered as the descendants of the $\mathcal{N}=2$ principle supercurrent, which has a simple universal structure. An important feature of our outcomes is that, ultimately, all $\mathcal{N}=2$ supercurrents are built from the $\mathcal{N}=2$ superfield strengths, which are constructed from the unconstrained analytical higher-spin prepotentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00668 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=2$ higher-spin supercurrents Zaigraev, Nikita High Energy Physics - Theory We have constructed conserved $\mathcal{N}=2$ higher-spin supercurrents for an arbitrary integer spin through the unconstrained superfield formulation of $4D,\, \mathcal{N}=2$ massless higher-spin theories in the harmonic superspace. The obtained supercurrents are gauge-invariant and determine consistent cubic interactions in the \textit{gauge superfield} $\times$ \textit{supercurrent} form for massless spin $\mathbf{s_1}$ and two massless spin $\mathbf{s_2}$ $\mathcal{N}=2$ supermultiplets. Such interactions and $\mathcal{N}=2$ supercurrents exist only for $\mathbf{s_1}\geq 2 \mathbf{s_2}$. These supercurrents are the $\mathcal{N}=2$ supersymmetric extension of Berends-Burgers-van Dam higher-spin currents and generalize the linearized Bel-Robinson tensor. The relevant $\mathcal{N}=2$ supercurrents can be considered as the descendants of the $\mathcal{N}=2$ principle supercurrent, which has a simple universal structure. An important feature of our outcomes is that, ultimately, all $\mathcal{N}=2$ supercurrents are built from the $\mathcal{N}=2$ superfield strengths, which are constructed from the unconstrained analytical higher-spin prepotentials. |
| title | $\mathcal{N}=2$ higher-spin supercurrents |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.00668 |