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arxiv: 1009.2488 · v2 · submitted 2010-09-13 · ✦ hep-th

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More on the duality correlators/amplitudes

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classification ✦ hep-th
keywords dualityinsertionsl-looplagrangianoperatorsadjacentamplitudeamplitudes
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We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections by making l Lagrangian insertions. We argue that there exists a simple relation between the (n+l)-point tree-level correlator with l Lagrangian insertions and the integrand of the n-particle l-loop MHV scattering amplitude, as obtained by the recent momentum twistor construction of Arkani-Hamed et al. We present several examples of this new duality, at one and two loops.

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  1. Notes on off-shell conformal integrals and correlation functions at five points

    hep-th 2025-12 conditional novelty 6.0

    A basis of six uniform-transcendental five-point off-shell conformal integrals is constructed and mapped to known families, yielding symbol-level two-loop results for half-BPS correlators.