Nonplanar integrated correlator in N =4 SYM
Abstract
The integrated correlator of four superconformal stress-tensor primaries in S U (N ) N =4 super Yang-Mills (SYM) theory in the perturbative limit takes a remarkably simple form, where the L -loop coefficient is given by a rational multiple of ζ (2 L +1 ). In this paper, we extend the previous analysis of expressing the perturbative integrated correlator as a linear combination of periods of f -graphs, graphical representations for loop integrands, to the nonplanar sector at four loops. At this loop order, multiple zeta values make their first appearance when evaluating periods of nonplanar f -graphs, but cancel nontrivially in the weighted sum. The remaining single zeta value, along with the rational number prefactor, makes a perfect agreement with the prediction from supersymmmetric localization.
- Publication:
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Physical Review D
- Pub Date:
- July 2024
- DOI:
- 10.1103/PhysRevD.110.025003
- arXiv:
- arXiv:2404.18900
- Bibcode:
- 2024PhRvD.110b5003Z
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 6 pages