$\mathcal{N}=4$ single-minus superamplitudes and dual superconformal symmetry
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912985297977344 |
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| author | Brandhuber, Andreas Pichini, Paolo Travaglini, Gabriele Wen, Congkao |
| author_facet | Brandhuber, Andreas Pichini, Paolo Travaglini, Gabriele Wen, Congkao |
| contents | We construct the $\mathcal{N}=4$ supersymmetric completion of the recently proposed single-minus gluon amplitudes in $(2,2)$ signature, which are nonvanishing for all multiplicities on a half-collinear kinematic locus. The superamplitude factorises into a permutation-invariant measure $Δ^{(n-1)}$ with uniform little-group weight that imposes the half-collinearity constraint, a piecewise constant stripped amplitude $\tilde{A}_{1\ldots n}$ that is helicity blind and dual conformal invariant, and (super)momentum conservation delta functions. For $n=3$, our superamplitude reduces to the known $\overline{\rm MHV}$ superamplitude. We prove dual superconformal covariance of the $n$-point superamplitude, and further analyse the $\mathrm{Gr}(k,n)$ Grassmannian integral at $k=1$. Finally, we present the corresponding single-minus superamplitude in $\mathcal{N}=8$ supergravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26609 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=4$ single-minus superamplitudes and dual superconformal symmetry Brandhuber, Andreas Pichini, Paolo Travaglini, Gabriele Wen, Congkao High Energy Physics - Theory We construct the $\mathcal{N}=4$ supersymmetric completion of the recently proposed single-minus gluon amplitudes in $(2,2)$ signature, which are nonvanishing for all multiplicities on a half-collinear kinematic locus. The superamplitude factorises into a permutation-invariant measure $Δ^{(n-1)}$ with uniform little-group weight that imposes the half-collinearity constraint, a piecewise constant stripped amplitude $\tilde{A}_{1\ldots n}$ that is helicity blind and dual conformal invariant, and (super)momentum conservation delta functions. For $n=3$, our superamplitude reduces to the known $\overline{\rm MHV}$ superamplitude. We prove dual superconformal covariance of the $n$-point superamplitude, and further analyse the $\mathrm{Gr}(k,n)$ Grassmannian integral at $k=1$. Finally, we present the corresponding single-minus superamplitude in $\mathcal{N}=8$ supergravity. |
| title | $\mathcal{N}=4$ single-minus superamplitudes and dual superconformal symmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.26609 |