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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2604.08673 |
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| _version_ | 1866913020758720512 |
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| author | Woolley, Mitchell |
| author_facet | Woolley, Mitchell |
| contents | We consider mixed four-point correlators of 1/2-BPS operators $ϕ_{k}$ in SCFTs with eight real Poincaré supercharges, namely the 3d $\mathcal{N}=4$, 4d $\mathcal{N}=2$, 5d $\mathcal{N}=1$, and 6d $\mathcal{N}=(1,0)$ theories. Using the basis of solutions to the superconformal Ward identity introduced in arXiv:hep-th/0405180, we demonstrate that the dynamical data in mixed correlators of extremality $\mathcal{E}=2$ is encoded in certain simpler ``reduced correlator" functions that admit a block expansion, in close analogy to the recent result for maximally supersymmetric CFTs in arXiv:2601.15407. These reduced blocks similarly involve ordinary blocks with shifted kinematics and reproduce what is known in 4d, generalize a known example in 6d, and offer novel results in 3d and 5d. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08673 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reduced superblocks at next-to-next-to-extremality for all half-maximally supersymmetric CFTs Woolley, Mitchell High Energy Physics - Theory We consider mixed four-point correlators of 1/2-BPS operators $ϕ_{k}$ in SCFTs with eight real Poincaré supercharges, namely the 3d $\mathcal{N}=4$, 4d $\mathcal{N}=2$, 5d $\mathcal{N}=1$, and 6d $\mathcal{N}=(1,0)$ theories. Using the basis of solutions to the superconformal Ward identity introduced in arXiv:hep-th/0405180, we demonstrate that the dynamical data in mixed correlators of extremality $\mathcal{E}=2$ is encoded in certain simpler ``reduced correlator" functions that admit a block expansion, in close analogy to the recent result for maximally supersymmetric CFTs in arXiv:2601.15407. These reduced blocks similarly involve ordinary blocks with shifted kinematics and reproduce what is known in 4d, generalize a known example in 6d, and offer novel results in 3d and 5d. |
| title | Reduced superblocks at next-to-next-to-extremality for all half-maximally supersymmetric CFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.08673 |