Abstract
We consider 4-dimensional \( \mathcal{N} \) = 2 superconformal quiver theories with SU(N)M gauge group and bi-fundamental matter and we evaluate correlation functions of n coincident Wilson loops in the planar limit of the theory. Exploiting specific untwisted/twisted combinations of these operators and using supersymmetric localization, we are able to resum the whole perturbative expansion and find exact expressions for these correlators that are valid for all values of the ’t Hooft coupling. Moreover, we analytically derive the leading strong coupling behaviour of the correlators, showing that they obey a remarkable simple rule. Our analysis is complemented by numerical checks based on a Padé resummation of the perturbative series.
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Acknowledgments
We are very grateful to A. Lerda, M. Frau and M. Billò for many important discussions and for reading and commenting on the draft of our article. We are also grateful to G.P. Korchemsky for very useful discussions. This research is partially supported by the MUR PRIN contract 2020KR4KN2 “String Theory as a bridge between Gauge Theories and Quantum Gravity” and by the INFN project ST&FI “String Theory & Fundamental Interactions”.
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Pini, A., Vallarino, P. Wilson loop correlators at strong coupling in \( \mathcal{N} \) = 2 quiver gauge theories. J. High Energ. Phys. 2023, 3 (2023). https://doi.org/10.1007/JHEP11(2023)003
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DOI: https://doi.org/10.1007/JHEP11(2023)003