On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators

Starting with some known localization (matrix model) representations for correlators involving 1/2 BPS circular Wilson loop W in N = 4 SYM theory we work out their 1/N expansions in the limit of large 't Hooft coupling lambda. Motivated by a possibility of eventual matching to higher genus corrections in dual string theory we follow arXiv:2007.08512 and express the result in terms of the string coupling gs similar to gYM2similar to lambda /N and string tension T similar to lambda. Keeping only the leading in 1/T term at each order in g(s) we observe that while the expansion of W is a series in gs2/T, the correlator of the Wilson loop with chiral primary operators OJ has expansion in powers of gs2/T2. Like in the case of W where these leading terms are known to resum into an exponential of a one-handle contribution similar to gs2/T, the leading strong coupling terms in WOJ sum up to a simple square root function of gs2/T2. Analogous expansions in powers of gs2/T are found for correlators of several coincident Wilson loops and they again have a simple resummed form. We also find similar expansions for correlators of coincident 1/2 BPS Wilson loops in the ABJM theory.

Automated summary

The research investigates the localization representations of 1/2 BPS circular Wilson loop W in N = 4 SYM theory and calculates their 1/N expansions in the limit of large 't Hooft coupling lambda. It discovers properties related to string coupling and string tension, as well as the expansion forms of Wilson loops and correlators with chiral primary operators. Similar phenomena are found in the ABJM theory as well.