More exact predictions of SUSYM for string theory

TL;DR

This paper computes precise coefficients for operators in a Wilson loop in N=4 SYM, demonstrating agreement with AdS/CFT predictions and proposing a conjecture about all-order cancellations of certain corrections.

Contribution

It introduces a method to sum all planar rainbow graphs for these coefficients and conjectures cancellation of internal vertex corrections at all orders.

Findings

Coefficients are functions of the 'tHooft coupling.

Strong coupling limits match AdS/CFT results.

Predictions for subleading strong coupling orders.

Abstract

We compute the coefficients of an infinite family of chiral primary operators in the local operator expansion of a circular Wilson loop in N=4 supersymmetric Yang-Mills theory. The computation sums all planar rainbow Feynman graphs. We argue that radiative corrections from planar graphs with internal vertices cancel in leading orders and we conjecture that they cancel to all orders in perturbation theory. The coefficients are non-trivial functions of the 'tHooft coupling and their strong coupling limits are in exact agreement with those previously computed using the AdS/CFT correspondence. They predict the subleading orders in strong coupling and could in principle be compared with string theory calculations.