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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2605.27206 |
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| _version_ | 1866918534927351808 |
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| author | Zaigraev, Nikita |
| author_facet | Zaigraev, Nikita |
| contents | In this article we study the structure of the $\mathcal{N}=2$ abelian higher-spin cubic $(\mathbf{s_1}, \mathbf{s_2}, \mathbf{s_2})$ vertices and the corresponding $\mathcal{N}=2$ higher-spin supercurrents, introduced in arXiv:2408.00668. These interactions are possible only for $\mathbf{s_1} \geq 2 \mathbf{s_2}$. Conserved supercurrents are constructed as descendants of the \textit{principal supercurrent}, which is uniquely characterized by simple differential conditions and admits an explicit representation in terms of $\mathcal{N}=2$ higher-spin super-Weyl tensors. We derive the analytic form of the abelian vertices and identify the corresponding analytic higher-spin $\mathcal{N}=2$ supercurrents. We show that the vertex structure is fully determined by the analytic supercurrents $J^{++}_{α(s-1)\dotα(s-1)}$, $J^+_{α(s-1)\dotα(s-2)}$, and $\bar{J}^+_{α(s-2)\dotα(s-1)}$. The analytic form of the vertices provides a simple framework for analyzing their component structure. As an example, we explore the component content of such interactions on the Bel--Robinson diagonal. Using the superfield inverse Noether procedure, we study higher-spin gauge transformations for the $\mathcal{N}=2$ vector multiplet associated with the $(\mathbf{s}, \mathbf{1}, \mathbf{1})$ interaction. In the rigid limit, for odd $\mathbf{s}$ these transformations reduce to the $\mathcal{N}=2$ superspace generalization of zilch-type higher-spin symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions Zaigraev, Nikita High Energy Physics - Theory In this article we study the structure of the $\mathcal{N}=2$ abelian higher-spin cubic $(\mathbf{s_1}, \mathbf{s_2}, \mathbf{s_2})$ vertices and the corresponding $\mathcal{N}=2$ higher-spin supercurrents, introduced in arXiv:2408.00668. These interactions are possible only for $\mathbf{s_1} \geq 2 \mathbf{s_2}$. Conserved supercurrents are constructed as descendants of the \textit{principal supercurrent}, which is uniquely characterized by simple differential conditions and admits an explicit representation in terms of $\mathcal{N}=2$ higher-spin super-Weyl tensors. We derive the analytic form of the abelian vertices and identify the corresponding analytic higher-spin $\mathcal{N}=2$ supercurrents. We show that the vertex structure is fully determined by the analytic supercurrents $J^{++}_{α(s-1)\dotα(s-1)}$, $J^+_{α(s-1)\dotα(s-2)}$, and $\bar{J}^+_{α(s-2)\dotα(s-1)}$. The analytic form of the vertices provides a simple framework for analyzing their component structure. As an example, we explore the component content of such interactions on the Bel--Robinson diagonal. Using the superfield inverse Noether procedure, we study higher-spin gauge transformations for the $\mathcal{N}=2$ vector multiplet associated with the $(\mathbf{s}, \mathbf{1}, \mathbf{1})$ interaction. In the rigid limit, for odd $\mathbf{s}$ these transformations reduce to the $\mathcal{N}=2$ superspace generalization of zilch-type higher-spin symmetries. |
| title | Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.27206 |