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Bootstrapping the simplest correlator in planar N = 4 SYM at all loops

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arxiv 1811.03282 v1 pith:ERJRXIT4 submitted 2018-11-08 hep-th

Frank Coronado This is my paper · ORCID
classification hep-th
keywords axiomsbehaviourbootstrapcorrelationfunctionlooploopsorder
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the full form of a four-point correlation function of large BPS operators in planar N = 4 Super Yang-Mills to any loop order. We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space of functions arising at each loop order, (ii) the behaviour in the OPE in a double-trace dominated channel and (iii) the behaviour under a double null limit. We discuss how these bootstrap axioms are in turn strongly motivated by empirical observations up to nine loops unveiled through integrability methods in our previous work [9] on this simplest correlation function.

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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. Lattice path combinatorics in superconformal Yang-Mills theories

    hep-th 2025-08 conditional novelty 8.0 of 10

    Planar superconformal Yang-Mills determinant observables are shown to equal generalized Dyck path partition functions through a universal iterated integral expansion.

  2. Antipodal self-duality of square fishnet graphs

    hep-th 2025-02 accept novelty 8.0 of 10

    Square fishnet integrals are invariant under the twisted antipode map for every grid size m, proven at function level.

  3. 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.

  4. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  5. Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel

    hep-th 2026-02 unverdicted novelty 6.0 of 10

    The strong-coupling transseries for matrix Bessel determinant observables is generated from its perturbative part by shifting a→a−Δ and replacing moments I_n, with all Stokes constants fixed by two recurrences.

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