Abstract
We consider the 1/2 BPS circular Wilson loop in a generic \( \mathcal{N} \) = 2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite N and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the \( \mathcal{N} \) = 4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g8 for the terms proportional to the Riemann value ζ (5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.
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Billò, M., Galvagno, F. & Lerda, A. BPS wilson loops in generic conformal \( \mathcal{N} \) = 2 SU(N) SYM theories. J. High Energ. Phys. 2019, 108 (2019). https://doi.org/10.1007/JHEP08(2019)108
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DOI: https://doi.org/10.1007/JHEP08(2019)108