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Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity

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arxiv 1106.4711 v2 pith:N6KUXTUD submitted 2011-06-23 hep-th

John Joseph M. Carrasco , Henrik Johansson This is my paper · ORCID
classification hep-th
keywords amplitudesfive-pointsuper-yang-millstheorydualityexternalkinematicssupergravity
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the complete integrands of five-point superamplitudes in N=4 super-Yang-Mills theory and N=8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional internal kinematics. For N=4 super-Yang-Mills theory we give the amplitudes for general gauge group -- including all non-planar contributions. The results are constructed using integral diagrams that manifestly satisfy the conjectured duality between color and kinematics, providing additional nontrivial evidence in favor of the duality for multipoint and multiloop amplitudes. We determine the ultraviolet poles by integrating the amplitudes in the dimensions where logarithmic divergences first occur. We introduce new kinematic prefactors which offer a convenient decomposition of the external state structure of the nonplanar five-point amplitudes in the maximally supersymmetric theories to all loop orders.

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Cited by 6 Pith papers

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

  1. Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

    hep-th 2026-08 conditional novelty 7.0 of 10

    First explicit full-color three-loop five-point CK-dual integrand for N=4 SYM, with its N=8 SUGRA double copy and D=6 UV poles.

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  3. The Double Copy of Maximal Supersymmetry in $D=4$

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    N=8 supergravity to cubic order is realized as the off-shell double copy of N=4 super Yang-Mills, with N=8 supersymmetry and SU(8) R-symmetry emerging from the two gauge factors.

  4. An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators

    hep-th 2026-07 conditional novelty 6.0 of 10

    The complete 207-dimensional family of one-loop five-gluon BCJ numerator coefficients is reconstructed exactly, and every direction in that family is shown to be invisible to the specified color-ring observable.

  5. Off-shell double copy theories in BV

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    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  6. Weyl double copy in Lifshitz spacetimes

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    The regularization prescription for the Weyl double copy restores consistency with the Kerr-Schild double copy across three distinct Lifshitz black hole examples.

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