SciPost logo

SciPost Submission Page

Higher-Point Integrands in N=4 super Yang-Mills Theory

by Till Bargheer, Thiago Fleury, Vasco Gonçalves

This is not the latest submitted version.

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Till Bargheer · Thiago Fleury
Submission information
Preprint Link:  (pdf)
Date submitted: 2023-04-24 19:06
Submitted by: Fleury, Thiago
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in N=4 super Yang-Mills theory. In addition, we compute the integrand of the five-point function at three-loop order. Using the operator product expansion, we extract the two-loop four-point function of one Konishi operator and three twenty-prime operators. Two methods were used for computing the integrands. The first method is based on constructing an ansatz, and then numerically fitting for the coefficients using the twistor-space reformulation of N=4 super Yang-Mills theory. The second method is based on the OPE decomposition. Only very few correlator integrands for more than four points were known before. Our results can be used to test conjectures, and to make progresses on the integrability-based hexagonalization approach for correlation functions.

Current status:
Has been resubmitted

Reports on this Submission

Anonymous Report 2 on 2023-5-9 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2212.03773v2, delivered 2023-05-09, doi: 10.21468/SciPost.Report.7174


as before


as before


Let us not over-edit, I am happy with the extra paragraph on parity and also the comment on [64].

Yet the bulk references [11-14], [15-18] remain biased: including [15] on non-planar tilings means definite progress, but it postpones the contribution of the competing group by a year. Nobody in the community will deny that 1611.05577 is much more complete than 1611.05436 which does not contain comments on gluing and thus remains restricted to tree level.

But the two groups of references are introduced by the text "Correlation functions of single-trace half-BPS operators are also most amenable to the integrability-based hexagonalization approach [11-14], especially at higher points and higher genus [15-19]. 1611.05436 is about the idea of hexagon tilings - at tree - but for 4-pt functions, which are shown to work out on a number of examples. And the paper came (slightly) earlier. Where is it?

We do not want to open Pandorra's box. I do have a clear sense that this is not the only instance of "selective citing" in the manuscript.

From my point of view this requires a further amendment, but I leave the question to the editor.

Requested changes

See report.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Author:  Thiago Fleury  on 2023-05-11  [id 3664]

(in reply to Report 2 on 2023-05-09)

Dear referee,
In the version 3 that was just resubmitted, the reference arxiv:1611.05436 was added to the Introduction.
We hope that our manuscript can now be accepted for publication.

Anonymous Report 1 on 2023-5-5 (Invited Report)


I am happy with the way the authors addressed my comments so the paper can be published as it is.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Login to report or comment