Correlators between Wilson loop and chiral operators in $$ \mathcal{N}=2 $$ conformal gauge theories

Abstract

Abstract We consider conformal $$ \mathcal{N}=2 $$ N = 2 super Yang-Mills theories with gauge group SU(N) and N f = 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.