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Higher-spin correlators

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arxiv 1305.4604 v2 pith:AXZ3C32Q submitted 2013-05-20 hep-th

Luis F. Alday , Agnese Bissi This is my paper · ORCID
classification hep-th
keywords correlatorstructureconstantlargespinexpressionfour-pointlimit
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the properly normalized three-point correlator of two protected scalar operators and one higher spin twist-two operator in N=4 super Yang-Mills, in the limit of large spin j. The relevant structure constant can be extracted from the OPE of the four-point correlator of protected scalar operators. We show that crossing symmetry of the four point correlator plus a judicious guess for the perturbative structure of the three-point correlator, allow to make a prediction for the structure constant at all loops in perturbation theory, up to terms that remain finite as the spin becomes large. Furthermore, the expression for the structure constant allows to propose an expression for the all loops four-point correlator G(u,v), in the limit u,v -> 0. Our predictions are in perfect agreement with the large j expansion of results available in the literature.

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Cited by 4 Pith papers

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

  1. A universal scaling function for giant graviton OPE coefficients

    hep-th 2026-07 conditional novelty 7.0 of 10

    In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.

  2. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

  3. Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities

    hep-ph 2025-05 conditional novelty 7.0 of 10

    First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.

  4. Null limit of large-charge correlators in planar $\mathcal{N}=4$ Super-Yang-Mills theory

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Conjecture predicts all-loop double-log null-limit behavior of n-point large-charge correlators in planar N=4 SYM via the tilted cusp anomalous dimension, matching small-mass massive amplitudes.

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