Abstract
We consider conformal \( \mathcal{N}=2 \) super Yang-Mills theories with gauge group SU(N) and Nf = 2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality ζ(3), we also obtain results in the large-N limit that are exact in the ’t Hooft coupling λ.
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Billò, M., Galvagno, F., Gregori, P. et al. Correlators between Wilson loop and chiral operators in \( \mathcal{N}=2 \) conformal gauge theories. J. High Energ. Phys. 2018, 193 (2018). https://doi.org/10.1007/JHEP03(2018)193
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DOI: https://doi.org/10.1007/JHEP03(2018)193