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Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes

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arxiv 1902.07205 v2 pith:Z3QV7FZL submitted 2019-02-19 hep-th hep-ph

Aidan Herderschee , Seth Koren , Timothy Trott This is my paper · ORCID
classification hep-thhep-ph
keywords massivesuperamplitudesstatesamplitudesbranchcoulombgrouplittle
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study scattering amplitudes of massive BPS states on the Coulomb branch of $4d$ $\mathcal{N}=4$ super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. String Theory from Maximal Supersymmetry

    hep-th 2026-01 unverdicted novelty 8.0 of 10

    The open string Veneziano amplitude emerges as the unique tree-level completion of N=4 super Yang-Mills when supersymmetry, factorization, and positivity are imposed.

  2. 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.

  3. On-shell recursion relations for higher-spin Compton amplitudes

    hep-th 2025-06 conditional novelty 6.0 of 10

    The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.

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