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On-shell Supersymmetry and higher-spin amplitudes

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arxiv 2209.06446 v1 pith:5DMD65GV submitted 2022-09-14 hep-th

classification hep-th
keywords supersymmetryamplitudesdimensionsfunctionmassivemasslessmathcalon-shell
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for $\mathcal{N}=1$, $2$ and $4$ theories. In particular, we derive the expressions for four-photon/gluon amplitudes with massive higher spin exchange in theories with $\mathcal{N}=4$ Supersymmetry in 3+1 dimensions.

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  1. Supersymmetry, Supergravity and the Consistency of On-Shell Massive Superamplitudes

    hep-th 2026-08 conditional novelty 7.0 of 10

    Consistent scattering amplitudes force a massless spin-3/2 particle to be the gravitino of a supergravity theory, and constrain massive BPS vector couplings to form a Lie algebra.

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