☆ 4.4 Article

All five-loop planar four-point functions of half-BPS operators in N=4 SYM

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Journal

JOURNAL OF HIGH ENERGY PHYSICS

Volume -, Issue 11, Pages -

Publisher

SPRINGER

DOI: 10.1007/JHEP11(2018)069

Keywords

Conformal Field Theory; Integrable Field Theories; Supersymmetric Gauge Theory

Categories

Physics, Particles & Fields

Funding

FAPESP [2015/14796-7, CERN/FIS-NUC/0045/2015]
Knut and Alice Wallenberg Foundation [2015-0083]
SFI [15/CDA/3472]

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Abstract

We obtain all planar four-point correlators of half-BPS operators in SYM up to five loops. The ansatz for the integrand is fixed partially by imposing lightcone OPE relations between different correlators. We then fix the integrated correlators by comparing their asymptotic expansions with simple data obtained from integrability. We extract OPE coefficients and find a prediction for the triple wrapping correction of the hexagon form factors, which contributes already at the five-loop order.

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