Abstract
Starting with some known localization (matrix model) representations for correlators involving 1/2 BPS circular Wilson loop \( \mathcal{W} \) in \( \mathcal{N} \) = 4 SYM theory we work out their 1/N expansions in the limit of large ’t Hooft coupling λ. 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 \( {g}_{\mathrm{s}}\sim {g}_{\mathrm{YM}}^2\sim \lambda /N \) and string tension \( T\sim \sqrt{\lambda } \). Keeping only the leading in 1/T term at each order in gs we observe that while the expansion of \( \left\langle \mathcal{W}\right\rangle \) is a series in \( {g}_{\mathrm{s}}^2/T \), the correlator of the Wilson loop with chiral primary operators \( {\mathcal{O}}_J \) has expansion in powers of \( {g}_{\mathrm{s}}^2/{T}^2 \). Like in the case of \( \left\langle \mathcal{W}\right\rangle \) where these leading terms are known to resum into an exponential of a “one-handle” contribution \( \sim {g}_{\mathrm{s}}^2/T \), the leading strong coupling terms in \( \left\langle {\mathcal{WO}}_J\right\rangle \) sum up to a simple square root function of \( {g}_{\mathrm{s}}^2/{T}^2 \). Analogous expansions in powers of \( {g}_{\mathrm{s}}^2/T \) 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.
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Also at the Institute of Theoretical and Mathematical Physics, MSU and Lebedev Institute, Moscow (A. A. Tseytlin).
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Beccaria, M., Tseytlin, A.A. On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators. J. High Energ. Phys. 2021, 149 (2021). https://doi.org/10.1007/JHEP01(2021)149
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DOI: https://doi.org/10.1007/JHEP01(2021)149