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Peer-reviewedCC BY 4.0Journal of High Energy Physics

𝒩 = 4 single-minus superamplitudes and dual superconformal symmetry

  • Andreas Brandhuber1
  • Paolo Pichini1
  • Gabriele Travaglini1
  • Congkao Wen1
  1. 1Queen Mary University of London
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Abstract

A bstract : We construct the 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 βˆ† ( n βˆ’1) with uniform little-group weight that imposes the half-collinearity constraint, a piecewise constant stripped amplitude AΜƒ1… n that is helicity blind and dual conformal invariant, and (super)momentum conservation delta functions. For n = 3, our superamplitude reduces to the known MHV Μ… superamplitude. We prove dual superconformal covariance of the n -point superamplitude, and further analyse the Gr( k, n ) Grassmannian integral at k = 1. Finally, we present the corresponding single-minus superamplitude in 𝒩 = 8 supergravity.

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Cite

BibTeXRIS
BibTeX
@article{brandhuber2026𝒩,
  title = {{𝒩 = 4 single-minus superamplitudes and dual superconformal symmetry}},
  author = {Andreas Brandhuber and Paolo Pichini and Gabriele Travaglini and Congkao Wen},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)171},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)171},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - 𝒩 = 4 single-minus superamplitudes and dual superconformal symmetry
AU  - Andreas Brandhuber
AU  - Paolo Pichini
AU  - Gabriele Travaglini
AU  - Congkao Wen
PY  - 2026
DA  - 2026/10/15
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)171
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)171
AB  - A bstract : We construct the 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 βˆ† ( n βˆ’1) with uniform little-group weight that imposes the half-collinearity constraint, a piecewise constant stripped amplitude AΜƒ_1… n that is helicity blind and dual conformal invariant, and (super)momentum conservation delta functions. For n = 3, our superamplitude reduces to the known MHV Μ… superamplitude. We prove dual superconformal covariance of the n -point superamplitude, and further analyse the Gr( k, n ) Grassmannian integral at k = 1. Finally, we present the corresponding single-minus superamplitude in 𝒩 = 8 supergravity.
SN  - 1029-8479
ER  -