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A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence

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abstract

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint representation. In the planar limit, each of these objects reduces to the square of the complete n-particle planar superamplitude. Our proof is at the level of the integrand.

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hep-th 1

years

2025 1

verdicts

UNVERDICTED 1

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Leading singularities and chambers of Correlahedron

hep-th · 2025-05-14 · unverdicted · novelty 6.0

Four-loop four-point correlator integrand in planar N=4 SYM decomposes into chamber forms identical to three loops times local integrands, with leading singularities as linear combinations of those forms and a diagonalized pure-function representation including one pure elliptic integrand.

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  • Leading singularities and chambers of Correlahedron hep-th · 2025-05-14 · unverdicted · none · ref 13 · internal anchor

    Four-loop four-point correlator integrand in planar N=4 SYM decomposes into chamber forms identical to three loops times local integrands, with leading singularities as linear combinations of those forms and a diagonalized pure-function representation including one pure elliptic integrand.