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Ten dimensional symmetry of N=4 SYM correlators

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arxiv 2106.03892 v1 pith:23AT6GEB submitted 2021-06-07 hep-th

Simon Caron-Huot , Frank Coronado This is my paper
classification hep-th
keywords symmetryamplitudesr-chargeamplitudebranchcombinesconjectureconsider
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider four-point correlation functions of protected single-trace scalar operators in planar N = 4 supersymmetric Yang-Mills (SYM). We conjecture that all loop corrections derive from an integrand which enjoys a ten-dimensional symmetry. This symmetry combines spacetime and R-charge transformations. By considering a 10D light-like limit, we extend the correlator/amplitude duality by equating large R-charge octagons with Coulomb branch scattering amplitudes. Using results from integrability, this predicts new finite amplitudes as well as some Feynman integrals.

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Cited by 5 Pith papers

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

  1. Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons

    hep-th 2025-12 conditional novelty 7.0 of 10

    A general two-loop formula is obtained for all n-point 10d null polygon correlators in planar N=4 SYM, expressed in a conformal-integral basis and verified numerically at 11 points.

  2. Off-shell form factor: factorization is violated

    hep-th 2025-05 conditional novelty 7.0 of 10

    At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.

  3. Quantum Gravity Corrections to Giant Graviton Correlators

    hep-th 2026-07 conditional novelty 6.0 of 10

    One-loop AdS supergravity correction to maximal giant graviton–supergraviton correlators is reconstructed in closed Mellin and position form via defect unitarity, including leading-twist anomalous dimensions.

  4. Notes on the bootstrap of four-point conformal integrals

    hep-th 2026-07 conditional novelty 6.0 of 10

    A leading-singularity bootstrap workflow yields new analytic expressions for four-loop conformal integrals, including previously intractable non-planar sectors.

  5. Five legs @ three loops: slightly off-shell dual conformal integrals

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.

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