English

Simplifying instanton corrections to N=4 SYM correlators

High Energy Physics - Theory 2015-06-18 v2

Abstract

We compute instanton corrections to non-minimal correlation functions of chiral primary operators in the N=4 super Yang-Mills super-current multiplet. Using a representation in terms of Mellin integrals, we find that these corrections can be written as conformal integrals in AdS_5 times certain "kinematic" prefactors that are independent of the instanton moduli. We then consider the consecutive, pairwise light-like limit x_{i, i+1}^2 -> 0 of such correlators, and prove that the ratio between the instanton contribution and the corresponding tree-level expression vanishes in this limit. We also speculate on the extension to the non-perturbative level of the proposed duality with polygonal Wilson loops and briefly discuss its potential implications for scattering amplitudes.

Keywords

Cite

@article{arxiv.1312.3916,
  title  = {Simplifying instanton corrections to N=4 SYM correlators},
  author = {Massimo Bianchi and Andreas Brandhuber and Gabriele Travaglini and Congkao Wen},
  journal= {arXiv preprint arXiv:1312.3916},
  year   = {2015}
}

Comments

38 pages, 3 figures; V2: 39 pages, 3 figures, JHEP version

R2 v1 2026-06-22T02:27:19.792Z