Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories

Abstract

We consider conformal 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 zeta(3), we also obtain results in the large-N limit that are exact in the 't Hooft coupling lambda.

arXiv comment37 pages, 10 figures. v2: typo corrected, 3 references added. Version to appear on JHEP

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• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
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• Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories
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• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Wilson loops in circular quiver SCFTs at strong coupling
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• Universality of Toda equation in $\mathcal{N}=2$ superconformal field theories
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• Emitted Radiation and Geometry
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• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
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• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography